| 分岔系统中非零解的近似表示 |
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| 引用本文： | 秦化淑. 分岔系统中非零解的近似表示. 自动化学报, 1982, 8(2): 93-102. |
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| 作者姓名： | 秦化淑 |
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| 作者单位： | 1.中国科学院系统科学研究所 |
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| 摘 要： | 作者曾研究过带有一个参数的非线性矢量常微分方程所描述的分岔系统,得到了这类系统存在非零平衡解的必要条件和充分条件,获得了非零平衡解的精确个数.本文研究非零平衡解的近似表示问题,得出其近似表示式,所得结果有助于了解平衡解的实际位置及其对参数的依赖状况,有助于研究分岔系统轨线的特性.
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| 收稿时间： | 1980-09-26 |
On The Approximative Expression of the Nonzero Solution in A Bifurcation System |
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| Qin Huashu. On The Approximative Expression of the Nonzero Solution in A Bifurcation System. ACTA AUTOMATICA SINICA, 1982, 8(2): 93-102. |
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| Authors: | Qin Huashu |
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| Affiliation: | 1. Institute of Systems Science and Mathematical Sciences,Academica Sinica |
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| Abstract: | Author has studied a bifurcation system which is described by a nonlinear vectorial ordinary differential equation with a parameter. The necessary condition and sufficient conditions for the system to have a nonzero equilibrium solution, and the exact:number of nonzero equilibrium solutions were obtained. In this paper, the problem onthe approximation of a nonzero equilibrium solution is discussed. The results is usefulto understand the real position of nonzero equilibrium states and to study the behaviourof the trajectories of a bifurcation system. |
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| Keywords: | NULL |
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