Global Stability of Dynamical Systems

✍ Scribed by Michael Shub

• Publisher: Springer
• Year: 1986
• Tongue: English
• Leaves: 161
• Category: Library

✦ Table of Contents

Cover......Page 1
Title......Page 2
Contents......Page 6
Introduction......Page 10
CHAPTER 1 Generalities......Page 12
CHAPTER 2 Filtrations......Page 19
CHAPTER 3 Sequences of Filtrations......Page 24
CHAPTER 4 Hyperbolic Sets......Page 31
CHAPTER 5 Stable Manifolds......Page 44
Appendix I. The Local Lipschitz Inverse Function Theorem......Page 60
Appendix II. Irwin's Proof of the Stable Manifold Theorem......Page 62
Appendix III. Center and Strong Stable Manifolds......Page 72
CHAPTER 6 Stable Manifolds for Hyperbolic Sets......Page 82
Appendix IV. Center and Strong Stable Manifolds for Invariant Sets......Page 90
CHAPTER 7 More Consequences of Hyperbolicity......Page 94
CHAPTER 8 Stability......Page 111
CHAPTER 9 A Potpourri of Stability Results......Page 128
CHAPTER 10 Markov Partitions......Page 133
List of Notation......Page 158
Index......Page 160
Back cover......Page 163