Title Statements
- Full title :Kam Story, The
Edition Statements
- Publication Date:2014.
Publication Statements
- Publisher(s):World scientific Publishing Company
- Place of Publication:Singapore
- Language:eng
- Publication Date:2014.
Notes
7.1.2 Specialized results for subsystems
The Physical Object
- Description:1 online resource (378 pages)
Edition Identifiers
- ISBN:9789814556590, 9814556599
- oclc:on1020692321
- LC Classification:Q172.5.C45D86 2014
- Dewey Decimal:515.39
Table of Contents
Intro; Contents; Preface; Acknowledgments; 1. Introduction; 1.1 What this book is, and how it came about; 1.2 Representative quotations and commentary; 1.3 Remarks on the style and organization of this book; 2. Minimum Mathematical Background; 2.1 Dynamical systems; 2.2 Hamiltonian systems; 2.2.1 Two pictures for Hamiltonian systems; 2.2.2 What does it mean to `solve' a Hamiltonian system?; 2.2.3 Completely integrable Hamiltonian systems; 2.2.4 Resonant and nonresonant tori; 2.2.5 A first introduction to the idea of nondegeneracy; 3. Leading Up to KAM: A Sketch of the History
3.1 The planets lead the way3.2 Newton, Poincare, and the most romantic view of KAM; 3.3 A more sober view; 3.4 The n body problem; 3.5 The stability problem; 3.6 Toward the modern eraâ#x80;#x94;integrability and its vulnerabilities; 3.7 Weierstrass, Poincare, and the King Oscar prize; 3.8 Aftermath of the prize: the seeds of change are sown; 3.9 A quick sketch of Poincare and his work; 3.10 HPT: `The fundamental problem of dynamics'; 3.11 From small divisors to nonintegrability and chaos; 3.12 The post-Poincare era; 3.12.1 Poincare's legacy in dynamics; 3.12.2 The chaos debate; 3.12.3 Ergodic theory
3.12.4…
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