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Item Details
Title: SMOOTH AND NONSMOOTH HIGH DIMENSIONAL CHAOS AND THE MELNIKOV-TYPE METHODS
By: Jan Awrejcewicz, Mariusz M. Holicke
Format: Hardback

List price: £120.00
Our price: £108.00
Discount:
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ISBN 10: 9812709096
ISBN 13: 9789812709097
Availability: Reprinting. This item may be subject to delays or cancellation.
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Stock: Currently 0 available
Publisher: WORLD SCIENTIFIC PUBLISHING CO PTE LTD
Pub. date: 24 September, 2007
Series: World Scientific Series on Nonlinear Science Series A 60
Pages: 320
Description: Focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems.
Synopsis: 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 occurrence of both stick-slip and slip-slip chaotic orbits, research which is very rarely reported in the existing literature even on one-degree-of-freedom nonautonomous dynamics.This pioneering attempt to predict the occurrence of deterministic chaos of nonlinear dynamical systems will attract many researchers including applied mathematicians, physicists, as well as practicing engineers. Analytical formulas are explicitly formulated step-by-step, even attracting potential readers without a rigorous mathematical background.
Publication: Singapore
Imprint: World Scientific Publishing Co Pte Ltd
Returns: Returnable
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