Hyperbolic Sets, Shadowing and Persistence for Noninvertible Mappings in Banach Spaces
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This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness. The book is intended to provide a dependable reference for researchers wishing to apply such results. This book will be of particular interest to researchers and students interested in dynamical systems, particularly in noninvertible maps and infinite dimensional semi-flows or maps and global analysis.
Table of Contents
Hyperbolic operators, projections , diagonalization
Sequence spaces and substitution operators
Shadowing and persistence of hyperbolic sets
Transversal homoclinic orbits