| 一类非线性动力系统的定性分析 |
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| 引用本文： | 刘俊,汪帆. 一类非线性动力系统的定性分析[J]. 黑龙江大学自然科学学报, 2003, 20(3): 41-45 |
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| 作者姓名： | 刘俊 汪帆 |
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| 作者单位： | 1. 曲靖师范学院,数学系,云南,曲靖,655000
2. 曲靖师范学院,化学系,云南,曲靖,655000 |
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| 基金项目： | Applied Science Foundation of the Education Department of Yunnan Province(0012226)，Qujing Normal College(0211902) |
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| 摘 要： | 利用Liapunov函数方法,研究了一类四阶非线性动力系统解的渐进稳定性及有界性,得到了该四阶非线性动力系统解的有界性及稳定性存在的充分条件.
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| 关 键 词： | 非线性动力系统 Liapunov函数 定性分析 |
Qualitative analysis for a class of nonlinear dynamical systems |
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| Abstract. Qualitative analysis for a class of nonlinear dynamical systems[J]. Journal of Natural Science of Heilongjiang University, 2003, 20(3): 41-45 |
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| Authors: | Abstract |
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| Abstract: | The asymptotic stability and boundedness of solutions for a class of fourth order nonlinear dynamic systems are studied by using the method of Liapunov function. The sufficient conditions for the boundedness and stability of the solutions of fourth order nonlinear dynamic systems are obtained. |
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| Keywords: | nonlinear dynamic system Liapunov function qualitative analysis |
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