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Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods (World Scientific Series on Nonlinear Science Series a) [Hardcover]

By Jan Awrejcewicz (Author) & Mariusz M. Holicke (Author)
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Item description for Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods (World Scientific Series on Nonlinear Science Series a) by 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 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.



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Item Specifications...


Studio: World Scientific Publishing Company
Pages   320
Est. Packaging Dimensions:   Length: 8.98" Width: 6.14" Height: 0.94"
Weight:   1.28 lbs.
Binding  Hardcover
Release Date   Sep 21, 2007
Publisher   World Scientific Publishing Company
ISBN  9812709096  
ISBN13  9789812709097  


Availability  0 units.


More About Jan Awrejcewicz & Mariusz M. Holicke


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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Chaos & Systems
3Books > Subjects > Professional & Technical > Professional Science > Physics > Dynamics
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > Applied > Differential Equations
6Books > Subjects > Science > Mathematics > Applied > General
7Books > Subjects > Science > Mathematics > Chaos & Systems
8Books > Subjects > Science > Mathematics > General
9Books > Subjects > Science > Physics > Dynamics > General
10Books > Subjects > Science > Physics > Dynamics



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