Read World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods

World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods

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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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods. To get started finding World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 9812709096

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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods. To get started finding World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods

World Scientific Series on Nonlinear Science, Series A, Volume 60: Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods

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