| 一类非线性微分系统的反射函数与周期解 |
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| 引用本文： | 周坚,赵士银,周正新.一类非线性微分系统的反射函数与周期解[J].数学的实践与认识,2010,40(22). |
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| 作者姓名： | 周坚 赵士银 周正新 |
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| 基金项目： | 江苏省教委自然科学研究基金，国家自然科学基金 |
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| 摘 要： | 采用一种新方法-反射函数法给出了一类非线性微分系统具有满足特定关系式的反射函数和存在周期解的充要条件,得到了此条件下反射函数的具体表达式和周期解的稳定性态.
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| 关 键 词： | 非线性微分系统 反射函数 周期解 稳定性 |
Reflective Function and Periodic Solution of Nonlinear System |
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| ZHOU Jian,ZHAO Shi-yin,ZHOU Zheng-xin.Reflective Function and Periodic Solution of Nonlinear System[J].Mathematics in Practice and Theory,2010,40(22). |
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| Authors: | ZHOU Jian ZHAO Shi-yin ZHOU Zheng-xin |
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| Abstract: | In this paper,we use a quite new method-reflective function,establish the necessary and sufficient conditions of nonlinear system,which has the reflective function that for all solutions of this system satisfies the special relation and the existence of periodic solutions for this system.Under these conditions the form of the reflective function has been established and the stability of the periodic solution has been discussed. |
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| Keywords: | nonlinear system reflective function periodic solution stability |
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