The Space of Dynamical Systems with the C0-Topology

Sergei Yu. Pilyugin (Autor)

Buch | Softcover

CCIV, 194 Seiten

1994 | 1994
Springer Berlin (Verlag)
978-3-540-57702-7 (ISBN)

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This book is an introduction to main methods and principalresults in the theory of Co(remark: o is upperindex!!)-small perturbations of dynamical systems. It is thefirst comprehensive treatment of this topic. In particular,Co(upper index!)-generic properties of dynamical systems,topological stability, perturbations of attractors, limitsets of domains are discussed. The book contains some newresults (Lipschitz shadowing of pseudotrajectories instructurally stable diffeomorphisms for instance). The aimof the author was to simplify and to "visualize" some basicproofs, so the main part of the book is accessible tograduate students in pure and applied mathematics. The bookwill also be a basic reference for researchers in variousfields of dynamical systems and their applications,especially for those who study attractors orpseudotrajectories generated by numerical methods.

Definitions and preliminary results.- Generic properties of dynamical systems.- Topological stability.- Perturbations of atrractors.- Limit sets of domains.

Erscheint lt. Verlag	28.3.1994
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	CCIV, 194 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	316 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Attractors • diffeomorphism • Numerical Methods • Pertubations • Pseudotrajectories • Topological Stability
ISBN-10	3-540-57702-5 / 3540577025
ISBN-13	978-3-540-57702-7 / 9783540577027
Zustand	Neuware