CHAOS LIGHT - CLASSICAL AND QUANTUM

Classics Illustrated version based on lecture overheads

some overheads and videos (both wildly incomplete) from P. Cvitanović's lectures based on ChaosBook.org. Currently more video links are on the course pages.

Chapter 1 - Overture

Chapter 2 - Go with the flow

Chapter 3 - Discrete time dynamics

Chapter 4 - Local stability

Chapter 5 - Cycle stability

Chapter 6 - Lyapunov exponents

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Chapter 7 - Fixed points

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Chapter 8 - Hamiltonian dynamics

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Chapter 9 - Billiards

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Chapter 10 - Flips, slides and turns

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Chapter 11 - World in a mirror

Chapter 12 - Relativity for cyclists

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Chapter 13 - Slice & dice

Chapter 14 - Charting the state space

Chapter 15 - Stretch, fold, prune

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Chapter 16 - Fixed points, and how to get them

Chapter 17 - Walkabout: Transition graphs

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Chapter 18 - Counting

Chapter 19 - Transporting densities

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Chapter 20 - Averaging

Chapter 21 - Trace formulas

Chapter 22 - Spectral determinants

Chapter 23 - Cycle expansions

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Chapter 24 - Discrete factorization

Chapter 25 - Why cycle?

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Chapter 26 - Why does it work?

Chapter 27 - Intermittency

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Chapter 28 - Deterministic diffusion

Chapter 29 - Turbulence?

turbulence tutorial
a seminar (click on PDF icon) + 3 videos of Newton Inst presentations

Chapter ** - Dimension of turbulence

Chapter 30 - Irrationally winding

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Chapter 31 - Noise

Chapter 32 - Relaxation for cyclists

Chapter 33 - Quantum chaos - prologue

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Chapter 34 - Quantum mechanics - the short short version

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Chapter 35 - WKB quantization

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Chapter 36 - Semiclassical evolution

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Chapter 37 - Semiclassical quantization

Chapter 38 - Quantum scattering

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Chapter 39 - Chaotic multiscattering

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Chapter 40 - Helium atom

Chapter 41 - Diffraction distraction

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Epilogue

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Appendix A - A brief history of chaos

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Appendix B - Go straight

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Appendix C - Linear stability

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Appendix D - Discrete symmetries of dynamics

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Appendix E - Finding cycles

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Appendix FF - Symbolic dynamics techniques

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Appendix G - Counting itineraries

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Appendix H - Implementing evolution

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Appendix I - Transport of vector fields

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Appendix J - Convergence of Fredholm determinants

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Appendix K - Infinite dimensional operators

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Appendix L - Thermodynamic formalism

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Appendix M - Statistical mechanics recycled

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Appendix N - Noise/quantum corrections

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Appendix O - Projects

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