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简单系统周期解的存在性与稳定性

Existence and Stability of Periodic Solutions of Simple Differential Systems
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摘要 应用Mironenko的反射函数理论,研究了微分系统为简单系统的充要条件以及其反射函数的表达式,并应用所得结论研究了相应的周期系统及其等价系统的Poincaré映射及周期解的存在性与稳定性。 This paper gives the necessary and sufficient conditions and the expression of the reflective function for a simple differential system function and studies existence and stability of the periodic solution of the periodic differential system and its equivalent nonlinear system.
出处 《江南大学学报(自然科学版)》 CAS 2013年第6期743-747,共5页 Joural of Jiangnan University (Natural Science Edition) 
基金 江苏省自然科学基金项目(BK2012682)
关键词 简单微分系统 反射函数 周期解 simple differential system,reflective function, periodic solution
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参考文献6

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  • 2Mironenko V I. Analysis of Reflective Function and Multivariate Differential System[ M ]. Gomel:University Press,2004:59-180.
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