Ergodic Problems Of Classical Mechanics by Vladimir I. Arnold
A concise exploration of ergodic phenomena in Hamiltonian dynamics, presenting a curated set of problems and insights on integrability, chaos, and the statistical behavior of classical mechanical systems. It examines geodesic flows, billiard dynamics, and measure-preserving transformations; contrasts KAM stability with mixing and Anosov behavior; and discusses entropy, diffusion, and recurrence on energy surfaces. Emphasizing rigorous questions, examples, and conjectures, it highlights how the topology and geometry of phase space shape long-term dynamics and the foundations of statistical mechanics.
- Published
- 1967
- Nationality
- Russian
- Length
- Unknown
- Pages
- 270-300 pages
- Original Language
- French
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- Alternate Titles
- - Problèmes ergodiques de la mécanique classique
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