Mason Porter's BibTeX references file		Dec 2003
	you might want to use
	revtex4/apsrev.bst  bibliography style



@Article{stadmov,
  author = 	 {Loskutov, Alexander and Ryabov, Alexei},
  title = 	 {Particle Dynamics in Time-Dependent Stadium-Like Billiards},
  journal = 	 {Journal of Statistical Physics},
  year = 	 2002,
  volume =	 108,
  number =	 {5-6},
  pages =	 {995-1014},
  month =	 {September}
}



@InProceedings{221conf,
  author = 	 {Richard, Richard and Guennoun, Kamar and Belhaq, Mohamed},
  title = 	 {2:2:1 Resonance in the Quasiperiodic Mathieu Equation},
  booktitle = 	 {Proceedings of DETC 2003},
  pages =	 {1-8},
  year =	 2003,
  number =	 48563,
  series =       {2003 ASME Design Technical Conferences},
  organization = {ASME}
}

@Article{221,
  author = 	 {Rand, Richard and Guennoun, Kamar and Belhaq, Mohamed},
  title = 	 {2:2:1 Resonance in the Quasiperiodic Mathieu Equation},
  journal = 	 {Nonlinear Dynamics},
  year = 	 2003,
  volume =	 31,
  pages =	 {367-374}
}

@InProceedings{zasme,
  author = 	 {Zounes, Randolph S. and Rand, Richard H.},
  title = 	 {Global Behavior of a Nonlinear Quasiperiodic Mathieu 
Equation},
  booktitle = 	 {Proceedings of DETC2001},
  pages =	 {1-11},
  year =	 2001,
  number =	 {VIB-21595},
  series =       {2001 ASME Design Engineering Technical Conferences},
  organization = {ASME}
}

@Article{qpmatnon,
  author = 	 {Zounes, Randolph S. and Rand, Richard H.},
  title = 	 {Global Behavior of a Nonlinear Quasiperiodic Mathieu 
Equation},
  journal = 	 {Nonlinear Dynamics},
  year = 	 2002,
  volume =	 27,
  pages =	 {87-105}
}

@Article{yew2,
  author = 	 {Yew, Alice C.},
  title = 	 {Multipulses of Nonlinearly Coupled {S}chr\"odinger 
Equations},
  journal = 	 {Journal of Differential Equations},
  year = 	 2001,
  volume =	 173,
  pages =	 {92-137}
}

@Article{yew1,
  author = 	 {Yew, A. C.},
  title = 	 {Stability Analysis of Multipulses in Nonlinearly-Coupled 
{S}chr\"odinger Equations},
  journal = 	 {Indiana University Mathematics Journal},
  year = 	 2000,
  volume =	 49,
  number =	 3,
  pages =	 {1079-1124}
}

@Article{newton2,
  author = 	 {Newton, Paul K. and Sirovich, Lawrence},
  title = 	 {Instabilities of the {G}inzburg-{L}andau Equation: Pt. II, 
Secondary Bifurcation},
  journal = 	 {Quarterly of Applied Mathematics},
  year = 	 1986,
  volume =	 {XLIV},
  number =	 2,
  pages =	 {367-374},
  month =	 {July}
}

@Article{newton1,
  author = 	 {Newton, Paul K. and Sirovich, Lawrence},
  title = 	 {Instabilities of the {G}inzburg-{L}andau Equation: Periodic
 Solutions},
  journal = 	 {Quarterly of Applied Mathematics},
  year = 	 1986,
  volume =	 {XLIV},
  number =	 1,
  pages =	 {49-58},
  month =	 {April}
}

@Article{holmescgl,
  author = 	 {Holmes, Philip},
  title = 	 {Spatial Structure of Time-Periodic Solutions of the 
{G}inzburg-{L}andau Equation},
  journal = 	 {Physica D},
  year = 	 1986,
  volume =	 23,
  pages =	 {84-90}
}

@Book{sjo,
  author =	 {Dimassi, M. and Sj\"ostrand, J.},
  title = 	 {Spectral Asymptotics in the Semi-Classical Limit},
  publisher = 	 {Cambridge University Press},
  year = 	 1999,
  number =	 268,
  series =	 {Lecture Note Series},
  address =	 {Cambridge, United Kingdom}
}

@Book{mart,
  author =	 {Martinez, Andr\'e},
  title = 	 {An Introduction to Semiclassical and Microlocal Analysis},
  publisher = 	 {Springer-Verlag},
  year = 	 2002,
  series =	 {Universitext},
  address =	 {New York, NY}
}

@Article{lutz1,
  author = 	 {Brusch, Lutz and Zimmermann, Martin G. and van Hecke, 
Martin and B\"ar, Markus and Torcini, Alessandro},
  title = 	 {Modulated Amplitude Waves and the Transition from Phase to 
Defect Chaos},
  journal = 	 {Physical Review Letters},
  year = 	 2000,
  volume =	 85,
  number =	 1,
  pages =	 {86-89},
  month =	 {July}
}

@Article{lutz2,
  author = 	 {Brusch, Lutz and Torcini, Alessandro and van Hecke, 
Martin and Zimmermann, Martin G. and B\"ar, Markus},
  title = 	 {Modulated amplitude waves and defect formation in the 
one-dimensional complex {G}inzburg-{L}andau equation},
  journal = 	 {Physica D},
  year = 	 2001,
  volume =	 160,
  pages =	 {127-148}
}

@Article{dang,
  author = 	 {Dang, Giu Do and Klein, Abraham and Walet, Niels R.},
  title = 	 {Self-consistent theory of large-amplitude collective motion:
 applications to approximate quantization of nonseparable systems and to 
nuclear physics},
  journal = 	 {Physics Reports},
  year = 	 2000,
  volume =	 335,
  number =	 {3-5},
  pages =	 {93-274},
  month =	 {August}
}

@Article{dittes,
  author = 	 {Dittes, Frank-Michael},
  title = 	 {The decay of quantum systems with a small number of open 
channels},
  journal = 	 {Physics Reports},
  year = 	 2000,
  volume =	 339,
  number =	 4,
  pages =	 {215-316},
  month =	 {December}
}

@Article{kota,
  author = 	 {Kota, V. K. B.},
  title = 	 {Embedded random matrix ensembles for complexity and chaos in
 finite interacting particle systems},
  journal = 	 {Physics Reports},
  year = 	 2001,
  volume =	 347,
  number =	 3,
  pages =	 {223-288},
  month =	 {June}
}

@Article{baer,
  author = 	 {Baer, Michael},
  title = 	 {Introduction to the theory of electronic non-adiabatic 
coupling terms in molecular systems},
  journal = 	 {Physics Reports},
  year = 	 2002,
  volume =	 358,
  number =	 2,
  pages =	 {75-142},
  month =	 {February}
}

@Article{horn,
  author = 	 {Hornberger, Klaus and Smilansky, Uzy},
  title = 	 {Magnetic edge states},
  journal = 	 {Physics Reports},
  year = 	 2002,
  volume =	 367,
  number =	 4,
  pages =	 {249-385},
  month =	 {September}
}

@Article{nondis,
  author = 	 {Buchleitner, Andreas and Delande, Dominique and Zakrzewski, Jakub},
  title = 	 {Non-dispersive wave packets in periodically driven quantum systems},
  journal = 	 {Physics Reports},
  year = 	 2002,
  volume =	 368,
  number =	 5,
  pages =	 {409-547},
  month =	 {October}
}

@Book{stockmann,
  author =	 {St\"ockmann, Hans-J\"urgen},
  title = 	 {Quantum Chaos: An Introduction},
  publisher = 	 {Cambridge University Press},
  year = 	 1999,
  address =	 {Cambridge, United Kingdom}
}

@Book{mehta,
  author =	 {Mehta, Madan Lal},
  title = 	 {Random Matrices},
  publisher = 	 {Academic Press},
  year = 	 1991,
  address =	 {San Diego, California},
  edition =	 {Second}
}


@Article{watts,
  author = 	 {Watts, Duncan J. and Strogatz, Steven H.},
  title = 	 {Collective dynamics of 'small-world' networks},
  journal = 	 {Nature},
  year = 	 1998,
  volume =	 393,
  number =	 6684,
  pages =	 {440-442},
  month =	 {June 4}
}

@Article{sneppen,
  author = 	 {Bak, Per and Sneppen, K.},
  title = 	 {Punctuated Equilibrium and criticality in a simple model of evolution},
  journal = 	 {Physical Review Letters},
  year = 	 1993,
  volume =	 71,
  pages =	 {4083-4086}
}

@Unpublished{palmer,
  author = 	 {Newman, Mark E. J. and Palmer, R. G.},
  title = 	 {Models of Extinction: A Review},
  note = 	 {Unpublished},
  month =	 {March},
  year =	 2000
}



@Article{percsmall,
  author = 	 {Newman, Mark E. J. and Watts, Duncan J.},
  title = 	 {Scaling and percolation in the small-world network model},
  journal = 	 {Physical Review E},
  year = 	 1999,
  volume =	 60,
  number =	 6,
  pages =	 {7332-7342},
  month =	 {December}
}

@Article{sand,
  author = 	 {Bak, Per and Tang, Chao and Weisenfeld, Kurt},
  title = 	 {Self-organized criticality: {A}n explanation of $1/f$ 
noise.},
  journal = 	 {Physical Review Letters},
  year = 	 1987,
  volume =	 59,
  pages =	 {381-384}
}

@Article{bak,
  author = 	 {Bak, Per and Chen, Kan},
  title = 	 {Self-Organized Criticality},
  journal = 	 {Scientific American},
  year = 	 1991,
  pages =	 {46-53},
  month =	 {January}
}

@Book{pathria,
  author =	 {Pathria, R. K.},
  title = 	 {Statistical Mechanics},
  publisher = 	 {Butterworth Heineman},
  year = 	 1996,
  address =	 {Oxford, UK},
  edition =	 {Second}
}

@Unpublished{sethna,
  author = 	 {Sethna, James P.},
  title = 	 {Introduction to the {I}sing Model},
  note = 	 {http://www.lassp.cornell.edu/sethna/sethna.html}
}




@Article{west,
  author = 	 {West, Geoffrey B. and Brown, James H. and Enquist, 
Brian J.},
  title = 	 {A General Scaling Model for the Origin of Allometric 
Scaling Laws in Biology},
  journal = 	 {Science},
  year = 	 1997,
  volume =	 276,
  pages =	 {122-126},
  month =	 {April 4}
}

@Book{mahon,
  author =	 {McMahon, Thomas, A. and Bonner, J. T.},
  title = 	 {On Size and Life},
  publisher = 	 {Scientific American Press},
  year = 	 1983
}

@Book{lineby,
  author =	 {Diller, Antoni},
  title = 	 {Latex: Line by Line},
  publisher = 	 {John Wiley \& Sons},
  year = 	 1993,
  address =	 {New York, New York}
}



@Book{laguide,
  author =	 {Lamport, Leslie},
  title = 	 {LaTex: User's Guide and Reference Manual},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1994,
  address =	 {Reading, Massachusetts},
  edition =	 {Second}
}

@Book{texbook,
  author =	 {Knuth, Donald E.},
  title = 	 {The Texbook},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1986,
  address =	 {Reading, Massachusetts}
}

@Book{joy,
  author =	 {Spivak, Michael D.},
  title = 	 {The Joy of Tex},
  publisher = 	 {American Mathematical Society},
  year = 	 1990,
  address =	 {Providence, Rhode Island},
  edition =	 {Second}
}

@Unpublished{ric,
  author = 	 {S\'aenz, Ricardo A.},
  title = 	 {First order partial differential equations: MTBI lecture notes},
  note = 	 {Unpublished},
  month =	 {July},
  year =	 1999
}

@Book{companion,
  author =	 {Goossens, Michel and Mittelbach, Frank and Samarin, 
Alexander},
  title = 	 {The LaTeX Companion},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1994,
  address =	 {Reading, Massachusetts}
}

@Book{predrag,
  author =	 {Cvitanovi\'c, Predrag and Artuso, Roberto and Mainieri, 
Ronnie and Tanner, Gregor and Vattay, G\'abor},
  title = 	 {Classical and Quantum Chaos},
  publisher = 	 {Niels Bohr Institute},
  year = 	 2000,
  volume =	 {Version 7.0.1},
  month =	 {August},
  note =	 { {\it www.nbi.dk/{C}haos{B}ook/}}
}

@Book{minorsky,
  author =	 {Minorsky, Nicolai},
  title = 	 {Nonlinear Oscillations},
  publisher = 	 {Krieger Pub.},
  year = 	 1983,
  address =	 {Malabar, FL}
}

@Article{polinf,
  author = 	 {Rand, Richard H. and Keith, W. L.},
  title = 	 {Dynamics of a System Exhibiting The Global Bifurcation of a Limit-Cycle at Infinity},
  journal = 	 {International Journal of Non-Linear Mechanics},
  year = 	 1985,
  volume =	 20,
  number =	 4,
  pages =	 {325-338}
}

@Unpublished{675,
  author = 	 {Rand, Richard H.},
  title = 	 {Lecture Notes on Nonlinear Vibrations},
  note = 	 {a free online book available at {\it http://www.tam.cornell.edu/randdocs/nlvibe45.pdf}},
  year =	 2003
}


@Article{zounes,
  author = 	 {Zounes, Randolph S. and Rand, Richard H.},
  title = 	 {Subharmonic resonance in the non-linear {M}athieu equation},
  journal = 	 {International Journal of Non-Linear Mechanics},
  year = 	 2002,
  volume =	 37,
  pages =	 {43-73}
}

@PhdThesis{manning,
  author = 	 {Manning, Robert S.},
  title = 	 {Semiclassical Propagation for Non-{C}artesian Variables},
note =	 {Center for Applied Mathematics},
  school = 	 {Cornell University},
  year = 	 1994
}

@PhdThesis{thesis,
  author = 	 {Porter, Mason A.},
  title = 	 {Quantum Chaos in Vibrating Billiard Systems},
  note =         {Center for Applied Mathematics},
  school = 	 {Cornell University},
  year = 	 2002,
  month =	 {May}
}



@Book{spivak,
  author =	 {Spivak, Michael},
  title = 	 {A Comprehensive Introduction to Differential Geometry},
  publisher = 	 {Publish or Perish, Inc.},
  year = 	 1999,
  volume =	 {One},
  address =	 {Houston, Texas},
  edition =	 {Third}
}

@Article{liapcomp,
  author = 	 {Wolf, Alan and Swift, J. B. and Swinney, Harry L. and 
Vastano, J. A.},
  title = 	 {Determining {L}yapunov Exponents from a Time Series},
  journal = 	 {Physica D},
  year = 	 1985,
  volume =	 16,
  pages =	 {285-317}
}

@Article{riemannberry,
  author = 	 {Berry, Michael V. and Keating, J. P.},
  title = 	 {The {R}iemann Zeros and Eigenvalue Asymptotics},
  journal = 	 {SIAM Review},
  year = 	 1999,
  volume =	 41,
  number =	 2,
  pages =	 {236-266}
}

@Article{jahnbb,
  author = 	 {Markiewicz, Robert S.},
  title = 	 {Chaos in a {J}ahn-{T}eller molecule},
  journal = 	 {Physical Review E},
  year = 	 2001,
  volume =	 64,
  number =	 026216,
  pages =	 {1-5},
  month =	 {August}
}

@Book{courant1,
  author =	 {Courant, Richard and Hilbert, David},
  title = 	 {Methods of Mathematical Physics},
  publisher = 	 {Interscience Publishers, Inc.},
  year = 	 1953,
  volume =	 1,
  address =	 {New York, NY}
}

@Article{libpoly,
  author = 	 {Richard L. Liboff},
  title = 	 {The polygon quantum-billiard problem},
  journal = 	 {Journal of Mathematical Physics},
  year = 	 1994,
  volume =	 35,
  number =	 2,
  pages =	 {596-607},
  month =	 {February}
}

@Article{jahn,
  author = 	 {Bersuker, Isaac B.},
  title = 	 {Modern Aspects of the {J}ahn-{T}eller Effect Theory and 
Applications to Molecular Problems},
  journal = 	 {Chemical Reviews},
  year = 	 2001,
  volume =	 101,
  pages =	 {1067-1114}
}

@Article{ringnat,
  author = 	 {Fuhrer, A. and L\"uscher, S. and Ihn, T. and Heinzel, T. and Ensslin, K. and Wegscheider, W. and Bichler, M.},
  title = 	 {Energy spectra of quantum rings},
  journal = 	 {Nature},
  year = 	 2001,
  volume =	 413,
  pages =	 {822-825},
  month =	 {October}
}

@Article{demon,
  author = 	 {Liboff, Richard L.},
  title = 	 {Maxwell's Demon and the Second Law of Thermodynamics},
  journal = 	 {Foundations of Physics Letters},
  year = 	 1997,
  volume =	 10,
  number =	 1,
  pages =	 {89-92}
}

@Article{libtoday,
  author = 	 {Liboff, Richard L.},
  title = 	 {The Correspondence Principle Revisited},
  journal = 	 {Physics Today},
  year = 	 1984,
  volume =	 37,
  number =	 2,
  pages =	 {50-55}
}

@Book{malvern,
  author =	 {Malvern, Lawrence E.},
  title = 	 {Introduction to the Mechanics of a Continuous Medium},
  publisher = 	 {Prentice-Hall, Inc.},
  year = 	 1969,
  series =	 {Series in Engineering of the Physical Sciences},
  address =	 {Englewood Cliffs, New Jersey}
}

@Article{trimix,
  author = 	 {Casati, Giulio and Prosen, Toma\u{z}},
  title = 	 {Mixing Property of Triangular Billiards},
  journal = 	 {Physical Review Letters},
  year = 	 1999,
  volume =	 83,
  number =	 23,
  pages =	 {4729-4732},
  month =	 {December}
}

@Article{mirbach,
  author = 	 {Mirbach, B. and Casati, Giulio},
  title = 	 {Transition from Quantum Ergodicity to Adiabaticity: 
{D}ynamical Localization in an Amplitude Modulated Pendulum},
  journal = 	 {Physical Review Letters},
  year = 	 1999,
  volume =	 83,
  number =	 7,
  pages =	 {1327-1330},
  month =	 {August}
}

@Article{shep4,
  author = 	 {Barelli, Armelle and Bellissard, Jean and Jacquod, Philippe 
and Shepelyanksy, Dima L.},
  title = 	 {Two interacting {H}ofstadter butterflies},
  journal = 	 {Physical Review B},
  year = 	 1997,
  volume =	 55,
  number =	 15,
  pages =	 {9524-9533},
  month =	 {April}
}

@Article{hadron,
  author = 	 {Benvenuto, Francesco and Casati, Giulio and Shepelyansky, 
Dima L.},
  title = 	 {Chaos in a quasiclassical hadronic atom},
  journal = 	 {Physical Review A},
  year = 	 1996,
  volume =	 53,
  number =	 2,
  pages =	 {737-743},
  month =	 {February}
}

@Article{shep3,
  author = 	 {Casati, Giulio and Guarneri, Italo and Shepelyanksy, Dima 
L.},
  title = 	 {Anderson Transition in a One-Dimensional System with Three 
Incommensurate Frequencies},
  journal = 	 {Physical Review Letters},
  year = 	 1989,
  volume =	 62,
  number =	 4,
  pages =	 {345-348},
  month =	 {January}
}

@Article{shep2,
  author = 	 {Shepelyanksy, Dima L. and Stone, A. Douglas},
  title = 	 {Chaotic {L}andau Level Mixing in Classical and Quantum 
Wells},
  journal = 	 {Physical Review Letters},
  year = 	 1995,
  volume =	 74,
  number =	 11,
  pages =	 {2098-2101},
  month =	 {March}
}

@Article{shep1,
  author = 	 {Borgonovi, Fausto and Shepelyansky, Dima L.},
  title = 	 {Particle propogation in a random and quasi-periodic 
potential},
  journal = 	 {Physica D},
  year = 	 1997,
  volume =	 109,
  pages =	 {24-31}
}

@Misc{tere,
  author =	 {Mart\'inez-Seara Alonso, Teresa},
  year =	 2001,
  note =	 {Private Communication}
}

@Book{walgraef,
  author =	 {Walgraef, Daniel},
  title = 	 {Spatio-Temporal Pattern Formation},
  publisher = 	 {Springer-Verlag},
  year = 	 1997,
  series =	 {Partially Ordered Systems},
  address =	 {New York, NY}
}

@Book{turb,
  author =	 {Manneville, Paul},
  title = 	 {Dissipative Structures and Weak Turbulence},
  publisher = 	 {Academic Press, Inc.},
  year = 	 1990,
  series =	 {Perspectives in Physics},
  address =	 {San Diego, CA}
}

@Article{network,
  author = 	 {Strogatz, Steven H.},
  title = 	 {Exploring complex networks},
  journal = 	 {Nature},
  year = 	 2001,
  volume =	 410,
  pages =	 {268-276},
  month =	 {March 8}
}

@Article{spiral,
  author = 	 {Plapp, Brendan B. and Egolf, David A. and Bodenschatz, 
Eberhard},
  title = 	 {Dynamics and Selection of Giant Spirals in 
{R}ayleigh-{B}\'enard Convection},
  journal = 	 {Physical Review Letters},
  year = 	 1998,
  volume =	 81,
  number =	 24,
  pages =	 {5334-5337},
  month =	 {December}
}

@Article{scatter,
  author = 	 {Lai, Ying-Cheng and Bl\"umel, Reinhold and Ott, Edward and 
Grebogi, Celso},
  title = 	 {Quantum Manifestations of Chaotic Scattering},
  journal = 	 {Physical Review Letters},
  year = 	 1992,
  volume =	 68,
  number =	 24,
  pages =	 {3491-3494},
  month =	 {June}
}

@Article{scatter2,
  author = 	 {Papachristou, P. K. and Diakonos, F. K. and Mavrommatis, E. 
and Constantoudis, V.},
  title = 	 {Nonperiodic delay mechanism and fractallike behavior in 
classical time-dependent scattering},
  journal = 	 {Physical Review E},
  year = 	 2001,
  volume =	 64,
  number =	 016205,
  pages =	 {1-7}
}



@Article{scatter3,
  author = 	 {Nakamura, Katsuhiro},
  title = 	 {Introduction to Chaos and Quantum Transport},
  journal = 	 {Chaos, Solitons \& Fractals},
  year = 	 1997,
  volume =	 8,
  number =	 {7/8},
  pages =	 {971-993}
}

@Article{ottpat,
  author = 	 {Venkataramani, Shankar C. and Ott, Edward},
  title = 	 {Pattern selection in extended periodically forced systems: 
{A} continuum coupled map approach},
  journal = 	 {Physical Review E},
  year = 	 2001,
  volume =	 63,
  number =	 046202,
  pages =	 {1-27}
}

@Article{ottpat2,
  author = 	 {Venkataramani, Shankar C. and Ott, Edward},
  title = 	 {Spatiotemporal Bifurcation Phenomena with Temporal Period 
Doubling: {P}atterns in Vibrated Sand},
  journal = 	 {Physical Review Letters},
  year = 	 1998,
  volume =	 80,
  number =	 16,
  pages =	 {3495-3498},
  month =	 {April}
}

@Article{sink,
  author = 	 {Topaj, Dmitri and Kye, Won-Ho and Pikovksy, Arkady},
  title = 	 {Transition to Coherence in Populations of Coupled Chaotic 
Oscillators: {A} Linear Response Approach},
  journal = 	 {Physical Review Letters},
  year = 	 2001,
  volume =	 87,
  number =	 074101,
  pages =	 {1-4},
  month =	 {August}
}

@Article{half,
  author = 	 {Berry, Michael V. and Robbins, J. M.},
  title = 	 {Chaotic classical and half-classical adiabatic reactions: 
geometric magnetism and deterministic friction},
  journal = 	 {Procedures of the Royal Society of London A},
  year = 	 1993,
  volume =	 442,
  pages =	 {659-672}
}

@Article{hobson,
  author = 	 {Hobson, Arthur},
  title = 	 {Ergodic properties of a particle moving elastically inside a
 polygon},
  journal = 	 {Journal of Mathematical Physics},
  year = 	 1975,
  volume =	 16,
  number =	 11,
  pages =	 {2210-2214},
  month =	 {November}
}

@Article{nonsep,
  author = 	 {Simmel, F. and Eckert, M.},
  title = 	 {Statistical measures for eigenfunctions of nonseparable 
quantum billiard systems},
  journal = 	 {Physica D},
  year = 	 1996,
  volume =	 97,
  pages =	 {517-530}
}

@Article{zurek,
  author = 	 {Zurek, Wojciech Hubert},
  title = 	 {Sub-{P}lanck structure in phase space and its relevance for 
quantum decoherence},
  journal = 	 {Nature},
  year = 	 2001,
  volume =	 412,
  pages =	 {712-717},
  month =	 {August 16}
}

@Article{music,
  author = 	 {Hall, Rachel W. and Josi\'c, Kre\v{s}imir},
  title = 	 {The Mathematics of Musical Instruments},
  journal = 	 {The American Mathematical Monthly},
  year = 	 2001,
  volume =	 108,
  number =	 4,
  pages =	 {347-357},
  month =	 {April}
}

@Article{libliu,
  author = 	 {Liboff, Richard L. and Liu, Jack},
  title = 	 {The {S}inai billiard, square torus, and field chaos},
  journal = 	 {Chaos},
  year = 	 2000,
  volume =	 10,
  number =	 4,
  pages =	 {756-759},
  month =	 {December}
}

@Book{ph2c,
  author =	 {Kittel, Charles and Kroemer, Herbert},
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  month =	 {March}
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@InProceedings{haroche,
  author = 	 {Haroche, Serge},
  title = 	 {Cavity Quantum Electrodynamics},
  booktitle = 	 {Fundamental Systems in Quantum Optics},
  pages =	 {767-940},
  year =	 1992,
  editor =	 {Dalibard, J. and Raimond, J.-M. and Zinn-Justin, J.},
  publisher =	 {Elsevier Science Publishers B. V.}
}

@Article{full,
  author = 	 {Menon, Madhu and Richter, Ernst and Subbaswamy, K. R.},
  title = 	 {Structural and Vibrational Properties of Fullerenes and 
Nanotubes in a Nonorthogonal Tight-binding Scheme},
  journal = 	 {Journal of Chemical Physics},
  year = 	 1996,
  volume =	 104,
  number =	 15,
  pages =	 {5875-5882},
  month =	 {April}
}


@Article{tube,
  author = 	 {Sumpter, Bobby G. and Noid, Donald W.},
  title = 	 {The Onset of Instability in Nanostructures:  The Role of 
Nonlinear Resonance},
  journal = 	 {Journal of Chemical Physics},
  year = 	 1995,
  volume =	 102,
  number =	 16,
  pages =	 {6619-6622},
  month =	 {April}
}

@Article{bounce,
  author = 	 {Kouwenhoven, Leo},
  title = 	 {Bouncing a ${C}_{60}$ Ball},
  journal = 	 {Nature},
  year = 	 2000,
  volume =	 407,
  pages =	 {35-36},
  month =	 {September}
}

@Article{bucky,
  author = 	 {Park, Hongkun and Park, Jiwoong and Lim, Andrew K. and 
Anderson, Erik H. and Alivisatos, A. Paul and McEuen, Paul L.},
  title = 	 {Nanomechanical Oscillations in a Single ${C}_{60}$ 
Transistor},
  journal = 	 {Nature},
  year = 	 2000,
  volume =	 407,
  pages =	 {57-60},
  month =	 {September}
}

@Article{fulldef,
  author = 	 {Yakobson, Boris I. and Smalley, Richard E.},
  title = 	 {Fullerene Nanotubes: ${C}_{1,000,000}$ and Beyond},
  journal = 	 {American Scientist},
  year = 	 1997,
  volume =	 85,
  number =	 4,
  pages =	 {324-337},
  month =	 {July-August}
}

@Article{bulgac,
  author = 	 {Bulgac, Aurel},
  title = 	 {Level Crossings, Adiabatic Approximation, and Beyond},
  journal = 	 {Physical Review Letters},
  year = 	 1991,
  volume =	 67,
  number =	 8,
  pages =	 {965-967},
  month =	 {August}
}

@Article{berman,
  author = 	 {Berman, G. P. and Bulgakov, E. N. and Zaslavsky, G. M.},
  title = 	 {Quantum Chaos of Atoms in a Resonant Cavity},
  journal = 	 {Chaos},
  year = 	 1992,
  volume =	 2,
  number =	 2,
  pages =	 {257-265}
}

@Article{solve1,
  author = 	 {Space, B. and Coker, D. F.},
  title = 	 {Nonadiabatic Dynamics of Excited Excess Electrons in Simple 
Fluids},
  journal = 	 {Journal of Chemical Physics},
  year = 	 1991,
  volume =	 94,
  number =	 3,
  pages =	 {1976-1984},
  month =	 {February}
}

@Article{solve2,
  author = 	 {Space, B. and Coker, D. F.},
  title = 	 {Dynamics of Trapping and Localization of Excess Electrons in
 Simple Fluids},
  journal = 	 {Journal of Chemical Physics},
  year = 	 1992,
  volume =	 96,
  number =	 1,
  pages =	 {652-663},
  month =	 {January}
}

@Article{hop,
  author = 	 {Coker, D. F. and Xiao, L.},
  title = 	 {Methods for Molecular Dynamics with Nonadiabatic 
Transitions},
  journal = 	 {Journal of Chemical Physics},
  year = 	 1995,
  volume =	 102,
  number =	 1,
  pages =	 {496-510},
  month =	 {January}
}

@Article{break,
  author = 	 {Moore, F. L. and Robinson, J. C. and Bharucha, C. F. and 
Sundaram, Bala and Raizen, M. G.},
  title = 	 {Atom Optics Realization of the Quantum $\delta$-Kicked 
Rotor},
  journal = 	 {Physical Review Letters},
  year = 	 1995,
  volume =	 75,
  number =	 25,
  pages =	 {4598-4601},
  month =	 {December}
}

@Book{baym,
  author =	 {Baym, Gordon},
  title = 	 {Lectures on Quantum Mechanics},
  publisher = 	 {Perseus Books},
  year = 	 1990,
  series =	 {Lecture Notes and Supplements in Physics},
  address =	 {Reading, Massachusetts}
}

@Article{free,
  author = 	 {Friedman, Avner},
  title = 	 {Free Boundary Problems in Science and Technology},
  journal = 	 {Notices of the American Mathematical Society},
  year = 	 2000,
  volume =	 47,
  number =	 8,
  pages =	 {854-861},
  month =	 {September}
}

@Article{ezra,
  author = 	 {Whetten, Rober L. and Ezra, Gregory S. and Grant, Edward R.},
  title = 	 {Molecular Dynamics Beyond the Adiabatic Approximation:  New 
Experiments and Theory},
  journal = 	 {Annual Reviews of Physical Chemistry},
  year = 	 1985,
  volume =	 36,
  pages =	 {277-320}
}


@Article{ezra2,
  author = 	 {Zwanziger, Josef W. and Grant, Edward R. and Ezra, Gregory 
S.},
  title = 	 {Semiclassical Quantization of a Classical Analog for the 
{J}ahn-{T}eller {E} $\times$ e System},
  journal = 	 {Journal of Chemical Physics},
  year = 	 1986,
  volume =	 85,
  number =	 4,
  pages =	 {2089-2098},
  month =	 {August}
}

@Article{ksu,
  author = 	 {Porter, Mason A. and Liboff, Richard L.},
  title = 	 {The Radially Vibrating Spherical Quantum Billiard},
  journal = 	 {Discrete and Continuous Dynamical Systems},
  year = 	 {2001},
  pages =	 {310-318},
  note =	 {Proceedings of the Third International Conference: 
"Dynamical Systems and Differential Equations", Kennesaw State University: 
Georgia, May 2000.}
}

@Book{whitham,
  author =	 {Whitham, Gerald B.},
  title = 	 {Linear and Nonlinear Waves},
  publisher = 	 {Wiley-Interscience},
  year = 	 1974,
  series =	 {Pure and Applied Mathematics},
  address =	 {New York, NY}
}

@Book{haller,
  author =	 {Haller, Gy\"orgy},
  title = 	 {Chaos Near Resonance},
  publisher = 	 {Springer-Verlag},
  year = 	 1999,
  number =	 138,
  series =	 {Applied Mathematical Sciences},
  address =	 {New York, NY}
}

@Article{qbc,
  author = 	 {Liboff, Richard L.},
  title = 	 {Quantum Billiard Chaos},
  journal = 	 {Physics Letters},
  year = 	 2000,
  volume =	 {A269},
  pages =	 {230-233}
}

@Article{berry,
  author = 	 {Zwanziger, Josef W. and Koenig, M. and Pines, A.},
  title = 	 {Berry's Phase},
  journal = 	 {Annual Reviews of Physical Chemistry},
  year = 	 1990,
  volume =	 41,
  pages =	 {601-646}
}



@Article{origberry,
  author = 	 {Berry, Michael V.},
  title = 	 {Quantal Phase Factors Accompanying Adiabatic Changes},
  journal = 	 {Procedures of the Royal Society of London A},
  year = 	 1984,
  volume =	 392,
  pages =	 {45-57}
}

@Book{goldstein,
  author =	 {Goldstein, Herbert},
  title = 	 {Classical Mechanics},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1980,
  address =	 {Reading, MA},
  edition =	 {2nd}
}

@Book{rudin,
  author =       {Rudin, Walter},
  title =        {Real \& Complex Analysis},
  publisher =    {McGraw-Hill, Inc.},
  year =         1987,
  address =      {New York, NY},
  edition =      {3rd}
}

@Book{purcell,
  author =	 {Purcell, Edward W.},
  title = 	 {Electricity and Magnetism},
  publisher = 	 {McGraw-Hill, Inc.},
  year = 	 1985,
  volume =	 2,
  series =	 {Berkeley Physics Course},
  address =	 {New York, NY},
  edition =	 {2nd}
}

@Book{nls,
  author =	 {Sulem, Catherine and Sulem, Pierre-Louis},
  title = 	 {The Nonlinear {S}chr\"odinger Equation: Self-Focusing and 
Wave Collapse},
  publisher = 	 {Springer-Verlag},
  year = 	 1999,
  number =	 139,
  series =	 {Applied Mathematical Sciences},
  address =	 {New York, NY}
}

@Book{rotman,
  author =       {Rotman, Joseph},
  title =        {An Introduction to Algebraic Topology},
  publisher =    {Springer-Verlag},
  year =         1988,
  number =       119,
  series =       {Graduate Texts in Mathematics},
  address =      {New York, NY}
}


@Article{mac,
  author = 	 {MacDonald, Steven W. and Kaufman, Allan N.},
  title = 	 {Wave Chaos in the Stadium: Statistical Properties of 
Short-wave Solutions of the {H}elmholtz Equation},
  journal = 	 {Physical Review A},
  year = 	 1988,
  volume =	 37,
  pages =	 3067
}



@Article{oldmac,
  author = 	 {MacDonald, Steven W. and Kaufman, Allan N.},
  title = 	 {Spectrum and Eigenfunctions for a {H}amiltonian with 
Stochastic Trajectories},
  journal = 	 {Physical Review Letters},
  year = 	 1979,
  volume =	 42,
  number =	 18,
  pages =	 {1189-1191},
  month =	 {April}
}

@Book{corn2,
  author =	 {Cornwell, J. F.},
  title = 	 {Group Theory in Physics},
  publisher = 	 {Harcourt Brace Jovanovich, Publishers},
  year = 	 1984,
  volume =	 2,
  address =	 {London, England}
}

@Article{fermi,
  author = 	 {Badrinarayanan, R. and Jos\'e, Jorge V.},
  title = 	 {Spectral Properties of a {F}ermi Accelerating Disk},
  journal = 	 {Physica D},
  year = 	 1995,
  volume =	 83,
  pages =	 {1-29}
}

@Article{clone,
  author = 	 {Zanardi, Paolo},
  title = 	 {Quantum Cloning in $d$ Dimensions},
  journal = 	 {Physical Review A},
  year = 	 1998,
  volume =	 58,
  number =	 5,
  pages =	 {3484-3490},
  month =	 {November}
}

@Book{fritz,
  author =       {John, Fritz},
  title =        {Partial Differential Equations},
  publisher =    {Springer-Verlag},
  year =         1982,
  number =       1,
  series =       {Applied Mathematical Sciences},
  address =      {New York, NY},
  edition =      {4th}
}


@Book{lich,
  author =	 {Lichtenberg, Allan J. and Lieberman, M. A.},
  title = 	 {Regular and Chaotic Dynamics},
  publisher = 	 {Springer-Verlag},
  year = 	 1992,
  number =	 38,
  series =	 {Applied Mathematical Sciences},
  address =	 {New York, NY},
  edition =	 {2nd}
}

@Book{powerlaw,
  author =	 {Schroeder, Manfred},
  title = 	 {Fractals, Chaos, Power Laws: Minutes from an Infinite 
Paradise},
  publisher = 	 {W. H. Freeman and Company},
  year = 	 1991,
  address =	 {New York, NY}
}

@Article{kramers,
  author = 	 {Kramers, H. A.},
  title = 	 {\"Uber das Modell des Helium atoms},
  journal = 	 {Z. Phys.},
  year = 	 1923,
  volume =	 13,
  pages =	 {312-341}
}


@Article{oldgutz,
  author = 	 {Gutzwiller, Martin C.},
  title = 	 {Periodic Orbits and Classical Quantization Conditions},
  journal = 	 {Journal of Mathematical Physics},
  year = 	 1971,
  volume =	 12,
  pages =	 {343-358}
}

@Book{feynman1,
  author =	 {Feynman, Richard P. and Leighton, Robert B. and Sands, 
Matthew},
  title = 	 {The {F}eynman Lectures on Physics},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1964,
  volume =	 {I},
  address =	 {Reading, MA}
}

@Book{feynman3,
  author =	 {Feynman, Richard P. and Leighton, Robert B. and Sands, 
Matthew},
  title = 	 {The {F}eynman Lectures on Physics},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1964,
  volume =	 {III},
  address =	 {Reading, MA}
}


@Book{feynman2,
  author =	 {Feynman, Richard P. and Leighton, Robert B. and Sands, 
Matthew},
  title = 	 {The {F}eynman Lectures on Physics},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1964,
  volume =	 {II},
  address =	 {Reading, MA}
}

@Unpublished{gen,
  author = 	 {Porter, Mason A.},
  title = 	 {An Introduction to Quantum Chaos},
  note = 	 {Unpublished},
  month =	 {July},
  year =	 {who the hell knows...need to rewrite}
}



@Unpublished{emerge,
  author = 	 {Porter, Mason A.},
  title = 	 {The Emergence of Complexity in Science and Nature},
  note = 	 {Unpublished},
  month =	 {August},
  year =	 {who knows??? need to write}
}

@Unpublished{int,
  author = 	 {Porter, Mason A. and Liboff, Richard L.},
  title = 	 {The Transition from Integrability to Chaos in Classical and 
Quantum Billiards},
  note = 	 {Unpublished},
  month =	 {June},
  year =	 {who knows? need to rewrite}
}


@Article{mult,
  author = 	 {Porter, Mason A. and Liboff, Richard L.},
  title = 	 {A {G}alerkin Approach to Electronic Near-Degeneracies in 
Molecular Systems},
  journal = 	 {Physica D},
  year = 	 2002,
  volume =	 167,
  number =	 {3-4},
  pages =	 {218-247},
  month =	 {July}
}

@Unpublished{form,
  author = 	 {Porter, Mason A.},
  title = 	 {An Exploration of Semiquantum Chaos in Vibrating Billiard 
Systems},
  note = 	 {Unpublished},
  month =	 {November},
  year =	 {probably never...see if book gets published}
}


@Unpublished{diffshort,
  author = 	 {Porter, Mason A.},
  title = 	 {Semiquantum Chaos and Diffusion},
  note = 	 {Unpublished},
  month =	 {November},
  year =	 {probably never...see if book gets published}
}

@Unpublished{primer,
  author = 	 {Porter, Mason A.},
  title = 	 {Quantum Chaos: A Primer},
  note = 	 {Unpublished},
  month =	 {April},
  year =	 {punted until after msri}
}


@Article{semi,
  author = 	 {Porter, Mason A.},
  title = 	 {Nonadiabatic dynamics in semiquantal physics},
  journal = 	 {Reports on Progress in Physics},
  year = 	 2001,
  volume =	 64,
  number =	 9,
  pages =	 {1165-1190},
  month =	 {September}
}

@Unpublished{pop,
  author = 	 {Porter, Mason A.},
  title = 	 {Quantum Chaos: Making a Newer Science},
  note = 	 {Unpublished},
  month =	 {June},
  year =	 {eventually...}
}


@Article{sigma,
  author = 	 {Porter, Mason A. and Liboff, Richard L.},
  title = 	 {Chaos on the Quantum Scale},
  journal = 	 {American Scientist},
  year = 	 2001,
  volume =	 {89},
  number =	 {6},
  pages =	 {532-537},
  month =	 {November-December}
}

@Book{gleick,
  author =	 {Gleick, James},
  title = 	 {Chaos: Making a New Science},
  publisher = 	 {Penguin USA},
  year = 	 1988,
  address =	 {New York, NY}
}

@Unpublished{celest,
  author = 	 {Porter, Mason A.},
  title = 	 {A Historical Approach to Dynamical Systems Through Celestial
 Mechanics},
  note = 	 {Unpublished},
  month =	 {August},
  year =	 {eventually....get a student to help me}
}

@Article{helm,
  author = 	 {Liboff, Richard L.},
  title = 	 {Many Faces of the {H}elmholtz Equation},
  journal = 	 {Physics Essays},
  year = 	 1999,
  volume =	 12,
  pages =        {1-8},
}

@Unpublished{rod,
  author = 	 {Freire, E. and Pizarro, L. and Rodr\'iguez-Luis, Alejandro 
J.},
  title = 	 {Numerical Continuation of Homoclinic Orbits to 
Non-hyperbolic Equilibria in Planar Systems},
  note = 	 {Preprint},
  year =	 1999
}


@Book{ms,
  author =	 {Marsden, Jerrold E. and Ratiu, Tudor S.},
  title = 	 {Introduction to Mechanics and Symmetry},
  publisher = 	 {Springer-Verlag},
  year = 	 1999,
  number =	 17,
  series =	 {Texts in Applied Mathematics},
  address =	 {New York, NY},
  edition =	 {Second}
}

@Manual{dstool,
  title = 	 {DsTool: A Dynamical Systems Toolkit with an Interactive 
Graphical Interface: User's Manual},
  author =	 {Guckenheimer, John and Meloon, B. A. and Myers, M. R. and 
Wicklin, F. J. and Worfolk, P. A.},
  organization = {Center for Applied Mathematics, Cornell University},
  address =	 {Ithaca, NY},
  month =	 {December},
  year =	 1997,
  note =	 {Version Tk Draft}
}

@Misc{elliptic,
  author =       {Wolfram, Stephen}, 
  title =	 {Solving the Quintic with {M}athematica},
  howpublished = {http://library.wolfram.com/examples/quintic/},
  year =	 1999
}

@Book{dummit,
  author =	 {Dummit, David S. and Foote, Richard M.},
  title = 	 {Abstract Algebra},
  publisher = 	 {Prentice Hall},
  year = 	 1991,
  address =	 {Englewood Cliffs, NJ}
}

@Book{fem,
  author =	 {Johnson, Claes},
  title = 	 {Numerical Solution of Partial Differential Equations by the 
Finite Element Method},
  publisher = 	 {Cambridge University Press},
  year = 	 1987,
  address =	 {Cambridge, England}
}

@Book{infinite,
  author =	 {Temam, Roger},
  title = 	 {Infinite-Dimensional Dynamical Systems in Mechanics and 
Physics},
  publisher = 	 {Springer-Verlag},
  year = 	 1997,
  number =	 68,
  series =	 {Applied Mathematical Sciences},
  address =	 {New York, NY},
  edition =	 {2nd}
}

@Article{homcont,
  author = 	 {Champneys, Alan R. and Kuznetsov, Yuri A. and Sandstede, 
Bj\"orn},
  title = 	 {A Numerical Toolbox for Homoclinic Bifurcation Analysis},
  journal = 	 {International Journal of Bifurcation and Chaos},
  year = 	 1996,
  volume =	 6,
  number =	 5,
  pages =	 {867-887}
}


@Article{detect,
  author = 	 {Champneys, Alan R. and Kuznetsov, Yuri A.},
  title = 	 {Numerical Detection and Continuation of Codimension-Two 
Homoclinic Bifurcations},
  journal = 	 {International Journal of Bifurcation and Chaos},
  year = 	 1994,
  volume =	 4,
  number =	 4,
  pages =	 {785-822}
}

@Manual{auto,
  title = 	 {AUTO 97: Continuation and Bifurcation Software for Ordinary 
Differential Equations (with {H}omCont)},
  author =	 {Doedel, Eusebius J. and Champneys, Alan R. and Fairgrieve, 
Thomas F. and Kuznetsov, Yuri A. and Sandstede, Bj\"orn and Wang, Xianjun},
  month =	 {March},
  year =	 1998
}

@TechReport{orbit,
  author = 	 {Doedel, Eusebius J. and Friedman, Mark J. and Monteiro, 
Anand C.},
  title = 	 {On Locating Homoclinic and Heteroclinic Orbits},
  institution =  {Center for Applied Mathematics, Cornell University},
  year = 	 1993,
  month =	 {June}
}

@Article{mix,
  author = 	 {Richard L. Liboff},
  title = 	 {Function Mixing Hypothesis and Quantum Chaos},
  journal = 	 {Physica D},
  year = 	 1996,
  pages =	 {137-142}
}

@Book{hale,
  author =	 {Hale, Jack and Ko\c{c}ak, H\"useyin},
  title = 	 {Dynamics and Bifurcation},
  publisher = 	 {Springer-Verlag},
  year = 	 1991,
  number =	 3,
  series =	 {Texts in Applied Mathematics},
  address =	 {New York, NY}
}

@Book{sakurai,
  author =	 {Jun John Sakurai},
  title = 	 {Modern Quantum Mechanics},
  publisher = 	 {Addison-Wesley Publishing Company},
  year = 	 1994,
  address =	 {Reading, MA},
  edition =	 {{R}evised}
}

@Book{merz,
  author =	 {Merzbacher, Eugen},
  title = 	 {Quantum Mechanics},
  publisher = 	 {John Wiley and Sons, Inc.},
  year = 	 1998,
  address =      {New York, NY},
  edition =	 {3rd}
}

@Article{qwire,
  author = 	 {Zaren, H and Vahala, K and Yariv, A},
  title = 	 {Gain Spectra of Quantum Wires with Inhomogeneous Broadening},
  journal = 	 {IEEE Journal of Quantum Electronics},
  year = 	 {1989},
  volume = 	 {25},
  pages = 	 {705},
}

@Book{qdot,
  author =	 {Lucan, J},
  title = 	 {Quantum Dots},
  publisher = 	 {Springer},
  year = 	 1998,
  address =	 {New York, NY}
}

@Book{wong,
  author =	 {Wong, S},
  title = 	 {Introductory Nuclear Physics},
  publisher = 	 {Prentice Hall},
  year = 	 1990,
  address =	 {Englewood Cliffs, NJ}
}

@Book{eisberg,
  author = 	 {Eisberg, Robert and Resnick, Robert},
  title = 	 {Quantum Physics of Atoms, Molecules, Solids, Nuclei,
		  and Particles},
  publisher = 	 {John Wiley and Sons},
  year = 	 {1985},
  address = 	 {New York, NY},
  edition = 	 {2nd},
}

@Book{recipes,
  author = 	 "Press, William H. and Flannery, Brian P. and
		  Teukolsky, Saul A. and Vetterling, William T.",
  title = 	 "Numerical Recipes: The Art of Scientific Computing",
  publisher = 	 "Cambridge University Press",
  year = 	 1986,
  address =	 "New York, NY"
}

@Book{strogatz,
  author = 	 "Strogatz, Steven H.",
  title = 	 "Nonlinear Dynamics and Chaos",
  publisher = 	 "Addison-Wesley",
  year = 	 "1994",
  address = 	 "Reading, MA",
}

@Book{analysis,
  author = 	 "Marsden, Jerrold E. and Hoffman, Michael J.",
  title = 	 "Elementary Classical Analysis",
  publisher = 	 "W. H. Freeman and Company",
  year = 	 "1993",
  address = 	 "New York, NY",
  edition = 	 "2nd",
 }

@Book{simmons,
  author = 	 "Simmons, George F.",
  title = 	 "Differential Equations with Applications and
		  Historical Notes",
  publisher = 	 "McGraw-Hill, Inc.",
  year = 	 "1991",
  address = 	 "New York, NY",
  edition = 	 "2nd",
}

@Book{diacu,
  author = 	 "Diacu, Florin and Holmes, Philip",
  title = 	 "Celestial Encounters: The Origins of Chaos and Stability",
  publisher = 	 "Princeton University Press",
  year = 	 1996,
  address =	 "Princeton, NJ"
}

@Book{riemann,
  author = 	 "Manfredo P. do Carmo",
  title = 	 "Riemannian Geometry",
  publisher = 	 {Birkh\"auser},
  year = 	 "1992",
  address = 	 "Boston, MA",
}

@Article{corr,
  author = 	 "Liboff, Richard L.",
  title = 	 "Bohr Correspondence Principle for Large Quantum Numbers",
  journal = 	 "Foundations of Physics",
  year =	 1975,
  volume =	 5,
  number =	 2,
  pages =	 "271-293"
}

@Article{quasi,
  author = 	 "Liboff, Richard L. and Wong, Michael",
  title = 	 "Quasi-Chaotic Property of the Prime-Number Sequence",
  journal =	 "International Journal of Theoretical Physics",
  year =	 1998,
  volume =	 37,
  pages =	 "3109-3117"
}

@Book{field,
  author = 	 "Moon, Parry and Spencer, Domina Eberle",
  title = 	 "Field Theory Handbook",
  publisher = 	 "Springer-Verlag",
  year = 	 1988,
  address =	 "Berlin, Germany",
  edition =	 "2nd"
}

@Article{vibline,
  author = 	 {Bl\"umel, Reinhold and Esser, B.},
  title = 	 "Quantum Chaos in the {B}orn-{O}ppenheimer Approximation",
  journal =	 "Physical Review Letters",
  year =	 1994,
  volume =	 72,
  number =	 23,
  pages =	 "3658--3661"
}

@Book{atomic,
  author = 	 {Bl\"umel, Reinhold and Reinhardt, W. P.},
  title = 	 "Chaos in Atomic Physics",
  publisher = 	 "Cambridge University Press",
  year = 	 1997,
  address =	 "Cambridge, England"
}

@Book{gutz,
  author = 	 "Gutzwiller, Martin C.",
  title = 	 "Chaos in Classical and Quantum Mechanics",
  publisher = 	 "Springer-Verlag",
  year = 	 1990,
  number =	 1,
  series =	 "Interdisciplinary Applied Mathematics",
  address =	 "New York, NY"
}


@Book{wiggins,
  author = 	 "Wiggins, Stephen",
  title = 	 "Introduction to Applied Nonlinear Dynamical Systems
		  and Chaos",
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  year = 	 "1990",
  number = 	 "2",
  series = 	 "Texts in Applied Mathematics",
  address = 	 "New York, NY",
}

@Book{liboff,
  author = 	 "Liboff, Richard L.",
  title = 	 "Introductory Quantum Mechanics",
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  edition =	 "3rd",
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@Article{sazim,
  author = 	 {Liboff, Richard L. and Porter, Mason A.},
  title = 	 {Quantum Chaos for the Radially Vibrating Spherical 
Billiard},
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  number =	 2,
  pages =	 "366--370"
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@Article{momentum,
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  month =	 "August"
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@Article{nec,
  author = 	 {Porter, Mason A. and Liboff, Richard L.},
  title = 	 {Vibrating Quantum Billiards on {R}iemannian Manifolds},
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  year = 	 2001,
  volume =	 11,
  number =	 9,
  pages =	 {2305-2315},
  month =	 {September}
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@Article{rect,
  author = 	 {Porter, Mason A. and Liboff, Richard L.},
  title = 	 {Quantum Chaos for the Vibrating Rectangular Billiard},
  journal = 	 {International Journal of Bifurcation and Chaos},
  year = 	 2001,
  volume =	 11,
  number =	 9,
  pages =	 {2317-2337},
  month =	 {September}
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@Article{bif,
  author = 	 {Porter, Mason A. and Liboff, Richard L.},
  title = 	 {Bifurcations in One Degree-of-Vibration Quantum Billiards},
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  pages =	 {903-911},
  month =	 {April}
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@Article{quasient,
  author = 	 {Liboff, Richard L. and Weimann, Nils and Porter, 
Mason A.},
  title = 	 {Prime Quasientropy and Quasichaos},
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  author = 	 "Zwillinger (Ed.), Daniel",
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@Book{hand,
  author =       "Zwillinger (Ed.), Daniel",
  title =        "Handbook of Differential Equations",
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  author = 	 "Guckenheimer, John and Holmes, Philip",
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  author = 	 "Strang, Gilbert",
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  author = 	 "Benenti, Sergio",
  title = 	 "Separability Structures on {R}iemannian Manifolds",
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  pages =	 "512--538",
  booktitle =	 "Differential Geometrical Methods in Mathematical
		  Physics: Proceedings, Aix-en-Provence and Salamanca 1979",
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  author = 	 "Butkov, Eugene",
  title = 	 "Mathematical Physics",
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  author = 	 "Casati (Ed.), Giulio",
  title = 	 "Chaotic Behavior in Quantum Systems",
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  author = 	 "Casati, Giulio and Chirikov, Boris",
  title = 	 "Quantum Chaos",
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  author = 	 "Katok, Anatole and Hasselblatt, Boris",
  title = 	 "Introduction to the Modern Theory of Dynamical Systems",
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  author = 	 "Arnold, Vladimir I.",
  title = 	 "Geometrical Methods in the Theory of Ordinary
		  Differential Equations",
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  series = 	 "A Series of Comprehensive Studies in Mathematics",
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@Book{mta,
  author = 	 "Abraham, Ralph and Marsden, Jerrold E. and Ratiu, Tudor",
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  number = 	 "75",
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  author =	 {Devaney, Robert L.},
  title = 	 {An Introduction to Chaotic Dynamical Systems},
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@Book{warner,
  author =	 {Warner, Frank W.},
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@Book{rudinfunc,
  author =	 {Rudin, Walter},
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@Article{whale,
  author = 	 {Mayer-Kress, Gottfried and Porter, Mason A.},
  title = 	 {Remarks on whale cultures from a complex systems 
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@Book{gottfried,
  author =	 {Gottfried, Kurt},
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  series =	 {Advanced Book Classics},
  address =	 {Reading, Massachusetts}
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@Misc{codd,
  author =	 {Paul Coddington},
  title =	 {Spin Models \linebreak},
  note =	 {http://www.npac.syr.edu/users/paulc/lectures/montecarlo/node8.html}
}