Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem

Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem

Feldmeier, Achim

Taylor & Francis Ltd

08/2024

205

Mole

9781032263380

15 a 20 dias

Descrição não disponível.
Chapter 1. Hamilton Theory

Chapter 2. Preliminaries

Chapter 3. Outline of the KAM Proof

Chapter 4. Proof of the KAM Theorem

Chapter 5. Analytic Lemmas

Chapter 6. Geometric Lemmas

Chapter 7. Convergence Lemmas

Chapter 8. Arithmetic Lemmas
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integrable systems;Liouville-Arnold theorem;chaos;order;newtonian mechanics;mathematical physics;moser;arnold;kolmogorov;KAM Theorem;Canonical Transformations;Diophantine Condition;Complex Function Theory;Lemma A2;Fourier Series;Push Forward;Differentiable Manifolds;Invariant Torus;KAM Theory;Lemma C4;Perturbed Hamiltonian;Cauchy Integral Formula;Small Divisors;Lemma A1;Real Analytic Function;Fourier Coefficients;Lagrange Estimate;Vector Field;Quadratic Convergence;Regula Falsi;Cauchy's Integral Theorem;Canonical Variables;Smooth Vector Field;Maximum Norm