Smooth and nonsmooth high dimensional chaos and the melnikov-type methods / Jan Awrejcewicz, Mariusz M. Holicke.
This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the a...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Electronic |
| Language: | English |
| Published: |
Singapore ; Hackensack, NJ :
World Scientific,
©2007.
|
| Series: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 60. |
| Subjects: | |
| Online Access: | Click for online access |
| Summary: | This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurrenc. |
|---|---|
| Physical Description: | 1 online resource (x, 307 pages) : illustrations (some color) |
| Bibliography: | Includes bibliographical references (pages 285-289) and index. |
| ISBN: | 9789812709103 981270910X |