nonlinear oscillations dynamical systems and bifurcations of vector fields pdf

Nonlinear oscillations dynamical systems and bifurcations of vector fields pdf

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Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields

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It seems that you're in Germany. We have a dedicated site for Germany. Authors: Guckenheimer , John, Holmes , P.

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Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields

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Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Guckenheimer and P. Holmes and M. Guckenheimer , P.


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The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists. Its excellent survey of the mathematical literature makes it a valuable reference. Skip to main content Skip to table of contents.

PDF Download Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields (Applied

Koon, M. Lo, J.

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Necessary and sufficient conditions on the existence and stability of the fixed points of this system are established. By applying the center manifold theorem and bifurcation theory, we show that the system has the fold bifurcation, flip bifurcation, and Neimark-Sacker bifurcation under certain conditions. Numerical simulations are presented to not only show the consistence between examples and our theoretical analysis, but also exhibit complexity and interesting dynamical behaviors, including period, , , , , , and orbits, quasi-periodic orbits, chaotic behaviors which appear and disappear suddenly, coexisting chaotic attractors. Chen , The function cascade synchronization scheme for discrete-time hyperchaotic systems, Commun Nonlinear Sci Numer Simulat , 14 , Google Scholar. Gonchenko and S.

Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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1 comments

  • Yannick A. 03.05.2021 at 15:30

    Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Authors; (view affiliations). John Guckenheimer; Philip Holmes.

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