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The space of dynamical systems with the C°-topology
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Dewey Class
515 (DDC 23)
Title
The space of dynamical systems with the C°-topology
(M)
/ Sergei Yu. Pilyugin
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.:
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Subject References:
Differentiable dynamical systems
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Dynamical Systems
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Perturbation (Mathematics)
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Authors:
Pilyugin, Sergei Yurievitch 1947-
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Series:
Lecture Notes in Mathematics
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Classification:
515 (DDC 23)
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00000000232827
517.938 PIL
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