Heteroclinic Bifurcation Analysis of Duffing-Van Der Pol System by the Hyperbolic Lindstedt-Poincaré Method

Yang Yang Chen; Le Wei Yan

doi:10.4028/www.scientific.net/AMR.538-541.2654

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 538-541Heteroclinic Bifurcation Analysis of Duffing-Van...

Heteroclinic Bifurcation Analysis of Duffing-Van Der Pol System by the Hyperbolic Lindstedt-Poincaré Method

Abstract:

The heteroclinic bifurcation of the Duffing-Van der Pol oscillatory System is studied by the hyperbolic Lindstedt-Poincaré method. The heteroclinic solution can be solved analytically by the method. And the critical value of the bifurcation parameter under which heteroclinic orbit forms can be determined by the perturbation procedure. Typical applications are studied in detail and compared with numerical results to illustrate the accuracy of the present method.

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Periodical:

Advanced Materials Research (Volumes 538-541)

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2654-2657

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https://doi.org/10.4028/www.scientific.net/AMR.538-541.2654

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Online since:

June 2012

Authors:

Yang Yang Chen, Le Wei Yan

Keywords:

Duffing-Van Der Pol Systems, Heteroclinic Bifurcation, Hyperbolic Lindstedt-Poincaré Method

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