دانلود کتاب Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM-77)

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TABLE OF CONTENTS\nFOREWORD\nI. INTRODUCTION\n 1. The stability problem\n 2. Historical comments\n 3. Other problems\n 4. Unstable and statistical behavior\n 5. Plan\nII. STABILITY PROBLEM\n 1. A model problem in the complex\n 2. Normal forms for Hamiltonian and reversible systems\n 3. Invariant manifolds\n 4. Twist theorem\nIII. STATISTICAL BEHAVIOR\n 1. Bernoulli shift. Examples\n 2. Shift as a topological mapping\n 3. Shift as a subsystem\n 4. Alternate conditions for C¹\r-mappings\n 5. The restricted three-body problem\n 6 . Homoclinic points\nIV. FINAL REMARKS\nV. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS\n 1. Reformulation of Theorem 2.9\n 2. Construction of the root of a function\n 3. Proof of Theorem 5.1\n 4. Generalities\n A. Appendix to Chapter V\n a) Rate of convergence for scheme of §2b)\n b) The improved scheme by Hald\nVI. PROOFS AND DETAILS FOR CHAPTER III\n 1. Outline\n 2. Behavior near infinity\n 3. Proof of Lemmas 1 and 2 of Chapter III\n 4. Proof of Lemma 3 of Chapter III\n 5. Proof of Lemma 4 of Chapter III\n 6. Proof of Lemma 5 of Chapter III\n 7. Proof of Theorem 3.7, concerning homoclinic points\n 8. Nonexistence of integrals\nBOOKS AND SURVEY ARTICLES