| 稳定非线性动力系统周期的计算机分析 |
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| 引用本文： | 侯祥林,王铁光,虞和济. 稳定非线性动力系统周期的计算机分析[J]. 东北大学学报(自然科学版), 1998, 19(6): 656-658 |
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| 作者姓名： | 侯祥林 王铁光 虞和济 |
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| 作者单位： | 东北大学理学院,沈阳,110006 |
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| 基金项目： | 冶金部科技攻关项目，冶85-501-04-09， |
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| 摘 要： | 提出采用后继函数法来确定非线性动力系统的周期，并编制计算机程序对Ｖａｎ ｄｅｒ Ｐｏｌ方程实例计算周期和绘制相图，结果表明，该方法计算结果准确且实用性强，本方法不但适合于求解保守系统和具 周期解非线性动力系统的周期，也适合于耗散系统和不稳定系统的分析。
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| 关 键 词： | 周期 后继函数 矢径向量 非线性动力系统 |
| 修稿时间： | 1998-03-19 |
Computer Analysis of Period of Stable Non-Linear Dynamical System |
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| Hou Xianglin,Wang Tieguang,Yu Heji. Computer Analysis of Period of Stable Non-Linear Dynamical System[J]. Journal of Northeastern University(Natural Science), 1998, 19(6): 656-658 |
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| Authors: | Hou Xianglin Wang Tieguang Yu Heji |
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| Abstract: | Presents succeeding function method to decide the period of stable non linear dynamical system. Using the computer programme formed,the period of Van der Pol equation was correctly computed and its phase picture were drawn. The results are correct and valid. This method is not only suit for conservative system and limited disc non linear dynamical system with period but also applied to dissipative system. |
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| Keywords: | period succeed function radius vector non linear dynamical system. |
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