Non-Smooth Dynamical Systems
β Scribed by Markus Kunze (eds.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2000
- Tongue
- English
- Leaves
- 237
- Series
- Lecture Notes in Mathematics 1744
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ 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
Melnikovβs method for non-smooth dynamical systems....Pages 197-201
Further topics and notes....Pages 203-209
β¦ Subjects
Partial Differential Equations
π SIMILAR VOLUMES
<p><P>This monograph combines the knowledge of both the field of Nonlinear Dynamcis and Non-smooth Mechanics and presents a framework for a class of non-smooth mechanical systems using techniques from both fields. During the last decades, the Non-smooth Mechanics community has developed a formulatio
<p>This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities.<br />The theoretical approach that has been retained and underlined in this work is associated with differential inclusions of mainly finite dimensional dynami
<p><P>This monograph combines the knowledge of both the field of Nonlinear Dynamcis and Non-smooth Mechanics and presents a framework for a class of non-smooth mechanical systems using techniques from both fields. During the last decades, the Non-smooth Mechanics community has developed a formulatio
<p>As one of the oldest natural sciences, mechanics occupies a certain pioneering role in determining the development of exact sciences through its interaction with mathematics. As a matter of fact, there is hardly an area in mathematics that hasn't found an application of some form in mechanics. It
<p>As one of the oldest natural sciences, mechanics occupies a certain pioneering role in determining the development of exact sciences through its interaction with mathematics. As a matter of fact, there is hardly an area in mathematics that hasn't found an application of some form in mechanics. It