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Hopf Bifurcation Analysis for the van der Pol Equation with Discrete and Distrib

上传者: 2021-04-04 21:32:25上传 PDF文件 994.06KB 热度 26次
We consider the van der Pol equation with discrete and distributed delays. Linear stability of this equation is investigated by analyzing the transcendental characteristic equation of its linearized equation. It is found that this equation undergoes a sequence of Hopf bifurcations by choosing the discrete time delay as a bifurcation parameter. In addition, the properties of Hopf bifurcation were analyzed in detail by applying the center manifold theorem and the normal for
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