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Title: The space of dynamical systems with the C°-topology (M) / Sergei Yu. Pilyugin Dewey Class: 515 (DDC 23) Author: Pilyugin, Sergei Yurievitch, 1947- Publication: Berlin : Springer-Verlag, 1994 Physical Details: viii, 188 pages : illustrations; 24 cm. Series: Lecture notes in mathematics; 1571 ISBN: 3-540-57702-5 Summary Note: 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.: ------------------------------ 00000000232827 Available at SISSA General 517.938 PIL -----------------------------------------------
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