This book is an introduction to main methods and principal results
in the theory of Co(remark: o is upper index!!)-small perturbations
of dynamical systems. It is the first comprehensive treatment of
this topic. In particular, Co(upper index!)-generic properties of
dynamical systems, topological stability, perturbations of
attractors, limit sets of domains are discussed. The book contains
some new results (Lipschitz shadowing of pseudotrajectories in
structurally stable diffeomorphisms for instance). The aim of the
author was to simplify and to "visualize" some basic proofs, so the
main part of the book is accessible to graduate students in pure
and applied mathematics. The book will also be a basic reference
for researchers in various fields of dynamical systems and their
applications, especially for those who study attractors or
pseudotrajectories generated by numerical methods.
General
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