Non-smooth dynamical systems

書誌事項

Non-smooth dynamical systems

Markus Kunze

(Lecture notes in mathematics, 1744)

Springer, c2000

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注記

Includes bibliographical references (p. [215]-225) and index

内容説明・目次

内容説明

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.

目次

Some general theory of differential inclusions.- Bounded, unbounded, periodic, and almost periodic solutions.- Lyapunov exponents for non-smooth dynamical systems.- On the application of Conley index theory to non-smooth dynamical systems.- On the application of KAM theory to non-smooth dynamical systems.- Planar non-smooth dynamical systems.- Melnikov's method for non-smooth dynamical systems.- Further topics and notes.

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