Research on Bifurcation of Asymmetric System Based on Second-Order Averaging Method

An Kang Hu; Ya Chong Liu; Yu Lu; Feng Lei Han

doi:10.4028/www.scientific.net/AMM.713-715.1835

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 713-715Research on Bifurcation of Asymmetric System Based...

Research on Bifurcation of Asymmetric System Based on Second-Order Averaging Method

Abstract:

Bifurcation which may lead to chaos is the typical character of nonlinear system, and an asymmetric system with asymmetric parameter is adopted in this paper. The basic characteristics which vary with the asymmetric parameter are investigated firstly, and then, the second-order averaging method is used to investigate the local bifurcation of the asymmetric system. The super and sub critical saddle-node bifurcation curves of both left center and right center of the system are solved analytically. The results show that the degree of asymmetric is influenced by the value of asymmetric parameter and the two bifurcation curves of the same center are intersected at the point which also depends on the asymmetric parameter value.