Hyperbolic Sets, Shadowing and Persistence for Noninvertible Mappings in Banach Spaces: 1st Edition (Hardback) book cover

Hyperbolic Sets, Shadowing and Persistence for Noninvertible Mappings in Banach Spaces

1st Edition

By Bernard Lani-Wayda

Chapman and Hall/CRC

152 pages

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Hardback: 9780582292284
pub: 1995-10-27
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Description

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

Introduction

Hyperbolic operators, projections , diagonalization

Sequence spaces and substitution operators

Hyperbolic sets

Shadowing and persistence of hyperbolic sets

Transversal homoclinic orbits

Appendix

Notation

References

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis