非线性微分系统的Poincare映射与周期解

周正新;俞元洪

系统科学与数学 ›› 2006, Vol. 26 ›› Issue (1) : 59-068.

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中国科学院数学与系统科学研究院期刊网
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系统科学与数学 ›› 2006, Vol. 26 ›› Issue (1) : 59-068. DOI: 10.12341/jssms08360
论文

非线性微分系统的Poincare映射与周期解

    周正新(1), 俞元洪(2)
作者信息 +

Poincare Mapping and Periodic Solution for the Nonlinear Differential System

    Zhou Zhengxin(1), Yu Yuanhong(2)
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摘要

采用一种新方法--反射函数法，建立了非线性非自治微分系统的Poincare映射，
给出了这些微分系统周期解存在及稳定的充要条件.

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.

关键词

非自治微分系统 / 反射函数 / Poincare映射 / 周期解.

Key words

Nonautonomous system / reflective function / Poincare mapping / periodic solution.

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周正新 , 俞元洪. 非线性微分系统的Poincare映射与周期解. 系统科学与数学, 2006, 26(1): 59-068. https://doi.org/10.12341/jssms08360
Zhou Zhengxin , Yu Yuanhong. Poincare Mapping and Periodic Solution for the Nonlinear Differential System. Journal of Systems Science and Mathematical Sciences, 2006, 26(1): 59-068 https://doi.org/10.12341/jssms08360
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