Non-Smooth Dynamical Systems

Markus Kunze (eds.)9783540679936, 3-540-67993-6

The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject.

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Table of contents :
Introduction….Pages 1-6
Some general theory of differential inclusions….Pages 7-18
Bounded, unbounded, periodic, and almost periodic solutions….Pages 19-61
Lyapunov exponents for non-smooth dynamical systems….Pages 63-140
On the application of Conley index theory to non-smooth dynamical systems….Pages 141-162
On the application of KAM theory to non-smooth dynamical systems….Pages 163-184
Planar non-smooth dynamical systems….Pages 185-196
Melnikov’s method for non-smooth dynamical systems….Pages 197-201
Further topics and notes….Pages 203-209