1st Edition

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

By Bernard Lani-Wayda Copyright 1995
    152 Pages
    by Chapman & Hall

    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.

    Introduction
    Hyperbolic operators, projections , diagonalization
    Sequence spaces and substitution operators
    Hyperbolic sets
    Shadowing and persistence of hyperbolic sets
    Transversal homoclinic orbits
    Appendix
    Notation
    References

    Biography

    Lani-Wayda\, Bernard