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三元多项式微分系统的反射函数与周期解

Reflective Function and Periodic Solution of Trinary Polynominal Differential System
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摘要 利用Mironenko的反射数理论,研究了三元多项式微分系统的反射函数为F(t,x)=(x1,x2,F3(t,x))T,(x=x1,x2,x3)T时,F3(t,x)的具体表达式,并讨论了该系统存在周期解的条件. Mironenko's theory of reflective function was used to study the expression of F3(t,x) when F(t,x)=(x1,x2,F3(t,x))^T,x=(x1,x2,x3)^T was the reflective function of the trinary polynominal differential system.The conditions for periodic solution which the system has were discussed too.
作者 周坚 赵士银
出处 《成都大学学报(自然科学版)》 2010年第3期225-228,共4页 Journal of Chengdu University(Natural Science Edition)
基金 国家自然科学基金(60774073)资助项目
关键词 微分系统 反射函数 周期解 differential system reflective function periodic solution
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参考文献12

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