Non-Smooth Dynamical Systems

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Lecture Notes in Mathematics 1744

ISBN: 3540679936
ISBN 13: 9783540679936
Autor: Kunze, Markus
Verlag: Springer Verlag GmbH
Umfang: xii, 232 S.
Erscheinungsdatum: 14.09.2000
Produktform: Kartoniert
Einband: KT

This study 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.

Artikelnummer: 1469171 Kategorie:

Beschreibung

InhaltsangabeSome 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.

Inhaltsverzeichnis

Introduction. Some general theory of differential inclusion. 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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