| 零点状态函数与极限环 |
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| 引用本文： | 韩雨岑,李楠. 零点状态函数与极限环[J]. 辽宁大学学报(自然科学版), 2012, 39(3): 277-280 |
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| 作者姓名： | 韩雨岑 李楠 |
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| 作者单位： | 1. 大连理工大学数学科学学院,辽宁大连,116024
2. 辽宁大学数学院,辽宁沈阳,110036 |
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| 摘 要： | 论述了通过研究特定二次系统的状态函数的零点个数来确定二次系统极限环的个数的方法,与传统的应用庞加莱-本迪克松环域定理的方法相比具有首创新和实用性.
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| 关 键 词： | 状态函数 极限环个数 奇点 |
State Function and the Zero Point of Limit Cycle |
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| HAN Yu-cen , LI Nan. State Function and the Zero Point of Limit Cycle[J]. Journal of Liaoning University(Natural Sciences Edition), 2012, 39(3): 277-280 |
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| Authors: | HAN Yu-cen LI Nan |
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| Affiliation: | 1.School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China; 2.School of Mathematics,Liaoning University,Shenyang 110036,China) |
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| Abstract: | In this paper,we research the limit cycle in two-dimensional system by studying the zero points of their state functions,which is more creative and practical when compared with Poincare-Bendixson’s annular region. |
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| Keywords: | state functions limit cycle critical point |
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