The space of dynamical systems with the C⁰-topology
By: Sergei Yu. Pilyugin.
Series: Lecture notes in mathematics ;; 1571; Lecture notes in mathematics (Springer-Verlag) ;; 1571.
Publisher: Springer-Verlag
Published: 1994
Place of publication: Berlin; New York
Language: eng
Number of pages: 188
Subjects: Differentiable dynamical systems.; Perturbation (Mathematics); Stability.
Description: 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.
Notes: Includes bibliographical references (p. [183]-186) and index.