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World Scientific Publishing Company SMOOTH AND NONSMOOTH HIGH DIMENSIONAL CHAOS AND THE MELNIKOV-TYPE METHODS: 60 (WORLD SCIENTIFIC SERIES ON NONLINEAR SCIENCE SERIES A)

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Description
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.

Product Specifications
Brand
World Scientific Publishing Company
Format
hardcover
ASIN
9812709096
Category
Books > Subjects > Reference
Domain
Amazon UK
Release Date
21 November 2007
Listed Since
31 July 2007

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No barcode data available

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