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What is Classical and Quantum Chaos about?
Overture......Page 12 Why this book?......Page 13 Chaos ahead......Page 14 A game of pinball......Page 15 What is ``chaos''?......Page 16 Symbolic dynamics......Page 18 Partitioning with periodic orbits......Page 19 Escape rate......Page 21 Size of a partition......Page 23 Dyn-am-ic-alzetafunc-tion......Page 25 Cycle expansions......Page 26 Shadowing......Page 27 Evolution oper-ators......Page 28 Trace formula......Page 29 From chaos to statistical mechanics......Page 31 Semiclassical quantization......Page 32 Quantization of helium......Page 33 Guide to literature......Page 34 Flows......Page 42 A Hamiltonian flow......Page 45 Maps......Page 47 Hénon map......Page 48 Constructing a Poincaré section......Page 50 Infinite-dimensional flows......Page 51 Fluttering flame front......Page 52 Fourier modes truncations......Page 53 Flows transport neighborhoods......Page 62 Linear stability of Hamiltonian flows......Page 65 Billiards......Page 67 Measures......Page 74 Density evolution......Page 76 Invariant measures......Page 77 Evolution operators......Page 79 Liouville operator......Page 81 Dynamical averaging......Page 88 Time averages......Page 89 Space averages......Page 91 Averagin
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Common subject areas: history, science, philosophy, social sciences.
- Author
- LaTeX with hyperref package
- Language
- EN
- Category
- nonfiction
- Subjects
- Physics, Science, Quantum Physics
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