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非零平衡强非线性van der Pol系统的奇异性分析及分岔 被引量：1

SINGULARITY AND BIFURCATION ANALYSIS OF A NONZERO BALANCING STRONGLY NONLINEAR SYSTEM
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摘要 探讨一类非零平衡强非线性vanderPol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. 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.
作者 季颖 毕勤胜
机构地区 江苏大学理学院
出处 《广西师范大学学报（自然科学版）》 CAS 北大核心 2005年第2期13-16,共4页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10372037)
关键词 VAN der Pol系统 分岔 转迁集 signular point bifurcation transition boundaries
分类号 O323 [理学—一般力学与力学基础]
  • 相关文献

参考文献9

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二级参考文献38

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共引文献14

同被引文献6

  • 1BAPPADITYA B,BAJAJ A K,DAVIES P.Resonant dynamics of an autoparametric system:a study using higher-order averaging[J].International Journal of Nonlinear Mechanics,1996,31 (1):21-39.
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  • 3BI Q,DAI H H.Analysis of nonlinear dynamics and bifurcations of a shallow arch subjected to periodic excitation with internal resonance[J].Journal of Sound and Vibration,2000,233(4):557-571.
  • 4BI Qin-sheng.Dynamical analysis of two coupled parametrically excited van der pol oscillators[J].International Journal of Nonlinear mechanics,2004,39:33-54.
  • 5冯雪梅,刘佐民.一种新的汽车液力减振器阻力特性模拟模型[J].振动与冲击,2003,22(2):53-56. 被引量：2
  • 6舒歌群,苏炎玲,吕兴才.复合式减振器对柴油机噪声影响的试验研究[J].汽车工程,2003,25(5):460-462. 被引量：1

引证文献1

广西师范大学学报（自然科学版）
2005年 第2期

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