Global Bifurcations and Chaos

Released on by Stephen Wiggins
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  • Global Bifurcations and Chaos Book Detail

  • Author : Stephen Wiggins
  • Release Date : 2013-11-27
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 505
  • ISBN 13 : 1461210429
  • File Size : 38,38 MB
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Global Bifurcations and Chaos by Stephen Wiggins PDF Summary

Book Description: Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.

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Global Bifurcations and Chaos

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Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems

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Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the