| Hopf Bifurcation for Non—smooth Planar Dynamical Systems |
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| 引用本文： | 邹永魁,黄明游.Hopf Bifurcation for Non—smooth Planar Dynamical Systems[J].东北数学,2001,17(3):261-264. |
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| 作者姓名： | 邹永魁 黄明游 |
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| 作者单位： | Institute of Mathematics，University of Cologne |
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| 基金项目： | The NSFC(10071030) of China. The Volkswagen
Foundation of Germany. |
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| 摘 要： | The purpose of this paper is to study the Hopf bifurcation property of the non-smooth planar dynamical systemwhere the individual functions K± R2 x I R2 at the right-hand side for some interval I containing 0 are smooth enough and given byThe parameter dependent matrices Aa(A) are assumed to be of the formwhere a 0 and w±() > 0. And the nonlinear terms in equation (??) are assumed to be smooth enough and have the formIn a standard way we extend the system (??) to a differential inclusion …
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| 关 键 词： | 不光滑动力系统 广义Hopf分枝 解 存在性 唯一性 |
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