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Reversible Systems

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Author(s): M. B. Sevryuk (auth.), Vladimir I. Arnol’d (eds.)
Series: Lecture Notes in Mathematics 1211
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1986

Language: English
Pages: 322
City: Berlin; New York
Tags: Probability Theory and Stochastic Processes; Mathematical Biology in General; Statistics for Life Sciences, Medicine, Health Sciences

Chapter Introduction....Pages 1-21
Kolmogorov tori of perturbations of integrable reversible diffeomorphisms and vectorfields....Pages 22-91
Normal forms for reversible diffeomorphisms and vectorfields near an equilibrium and their kolmogorov tori....Pages 92-158
The behaviour of trajectories of reversible vectorfields near a symmetric cycle....Pages 159-170
Non-autonomous reversible differential equations....Pages 171-180
Structure of resonant zones of reversible diffeomorphisms and vectorfields....Pages 181-227
Families of symmetric cycles near an equilibrium of a reversible vectorfield....Pages 228-292