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ISSN: 2333-9721
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Poincare Mapping and Periodic Solution for the Nonlinear Differential System
非线性微分系统的Poincare映射与周期解

Keywords: Nonautonomous system,reflective function,Poincare mapping,periodic solution
非自治微分系统
,反射函数,Poincare映射,周期解

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Abstract:

In this paper, we use a quite new method-reflective function, establish Poincare mapping for the nonautonomous nonlinear systems, and set up the necessary and sufficient conditions of existence of the periodic solution and stability for these systems.

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