| 非零平衡强非线性van der Pol系统的奇异性分析及分岔 |
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| 引用本文： | 季颖,毕勤胜. 非零平衡强非线性van der Pol系统的奇异性分析及分岔[J]. 广西师范大学学报(自然科学版), 2005, 23(2): 13-16 |
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| 作者姓名： | 季颖 毕勤胜 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013;江苏大学理学院,江苏,镇江,212013 |
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| 基金项目： | 国家自然科学基金资助项目(10372037) |
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| 摘 要： | 探讨一类非零平衡强非线性van der Pol系统奇异和分岔特性．首先将系统转化为平面向量场，分析了各种不同平衡点存在的参数条件，得到了参数空间中的转迁集，进而将参数空间划分为不同的区域，揭示了其各种不同的分岔模式．
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| 关 键 词： | van der Pol系统 分岔 转迁集 |
| 文章编号： | 1001-6600(2005)02-0013-04 |
SINGULARITY AND BIFURCATION ANALYSIS OF A NONZERO BALANCING STRONGLY NONLINEAR SYSTEM |
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| JI Ying,BI Qin-sheng. SINGULARITY AND BIFURCATION ANALYSIS OF A NONZERO BALANCING STRONGLY NONLINEAR SYSTEM[J]. Journal of Guangxi Normal University(Natural Science Edition), 2005, 23(2): 13-16 |
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| Authors: | JI Ying BI Qin-sheng |
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| Abstract: | Singularity and Bifurcation Analysis of a Nonzero balancing Strongly Nonlinear System is discussed.At first,this system is translated to a vector field in flat.The parameter conditions by which all kinds of singular points could exist is analyzed,and the critical curves on the parameter space is defined.The parameter subspace is divided into different regions.What is more,the phase diagram according to different regions are obtained,then different kinds of bifurcations are discovered. |
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| Keywords: | signular point bifurcation transition boundaries |
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