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Chapter 1
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Overture
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Chapter 2
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Go with the flow
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Chapter 3
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Discrete time dynamics
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Chapter 4
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Local stability
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Chapter 5
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Cycle stability
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(no overheads available)
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Chapter 6
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Lyapunov exponents
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Chapter 7
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Hamiltonian dynamics
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(no overheads available)
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Chapter 8
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Billiards
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Chapter 9
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World in a mirror
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Chapter 10
- Relativity for cyclists
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Chapter 11
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Charting the state space
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Chapter 12
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Qualitative dynamics, for cyclists
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(no overheads available)
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Chapter 13
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Fixed points, and how to get them
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Chapter 14
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Walkabout: Transition graphs
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(no overheads available)
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Chapter 15
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Counting
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Chapter 16
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Transporting densities
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(no overheads available)
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Chapter 17
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Averaging
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Chapter 18
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Trace formulas
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Chapter 19
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Spectral determinants
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Chapter 20
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Cycle expansions
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(no overheads available)
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Chapter 21
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Discrete factorization
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Chapter 22
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Why cycle?
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(no overheads available)
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Chapter 23
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Why does it work?
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Chapter 24
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Intermittency
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(no overheads available)
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Chapter 25
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Deterministic diffusion
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Chapter 26
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Turbulence?
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turbulence tutorial |
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a seminar
(click on PDF icon) + 3 videos of Newton Inst presentations |
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Chapter 27
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Irrationally winding
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(no overheads available)
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Chapter 28
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Noise
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Chapter 29
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Relaxation for cyclists
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Chapter 30
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Quantum chaos - prologue
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(no overheads available)
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Chapter 31
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Quantum mechanics, briefly
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(no overheads available)
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Chapter 32
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WKB quantization
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(no overheads available)
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Chapter 33
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Semiclassical evolution
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(no overheads available)
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Chapter 34
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Semiclassical quantization
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Chapter 35
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Quantum scattering
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(no overheads available)
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Chapter 36
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Chaotic multiscattering
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(no overheads available)
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Chapter 37
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Helium atom
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Chapter 38
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Diffraction distraction
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(no overheads available)
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Epilogue
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Appendix A
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A brief history of chaos
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(no overheads available)
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Appendix B
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Go straight
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(no overheads available)
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Appendix C
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Linear stability
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(no overheads available)
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Appendix D
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Finding cycles
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(no overheads available)
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Appendix E
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Symbolic dynamics techniques
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(no overheads available)
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Appendix F
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Counting itineraries
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(no overheads available)
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Appendix G
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Implementing evolution
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(no overheads available)
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Appendix H
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Transport of vector fields
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(no overheads available)
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Appendix I
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Discrete symmetries of dynamics
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(no overheads available)
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Appendix J
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Convergence of Fredholm determinants
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(no overheads available)
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Appendix K
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Infinite dimensional operators
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(no overheads available)
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Appendix L
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Thermodynamic formalism
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(no overheads available)
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Appendix M
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Statistical mechanics recycled
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(no overheads available)
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Appendix N
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Noise/quantum corrections
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(no overheads available)
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Appendix T
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Projects
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(no overheads available)
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