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一类3参数平面分片光滑系统中间断线上平衡点的分支 被引量：1

Bifurcation of Stationary Point on the Line of Discontinuity in a Class of Planar Piecewise Smooth System with 3 Parameters
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摘要 利用微分包含理论研究一类3参数平面分片光滑系统的平衡点分支性质,得到了此类系统中平衡点存在的充要条件.特别地,讨论了此3参数平面分片光滑系统中间断线上平衡点的性质. We studied the bifurcation properties of stationary points of a class of planar piecewise smooth system with 3 parameters using the theory of differential inclusions, presenting both sufficient and neccesary conditions of the existence of the stationary points in this class of planar piecewise smooth systems. We especially studied the existence of the stationary points on the line of discontinuity of this planar piecewise smooth system.
作者 臧林 宫成春 罗宏文
机构地区 吉林大学数学研究所
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2008年第2期205-208,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10671082)
关键词 分片光滑系统 间断线 平衡点 分支 piecewise smooth system line of discontinuity stationary point bifurcation
分类号 O211.65 [理学—概率论与数理统计]
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参考文献4

  • 1Giannakopoulos F, Pliete K. Planar Systems of Piecewise Linear Differential Equations with a Line of Discontinuity [ J ]. Nonlinearity, 2001, 14(6): 1611-1632.
  • 2ZOU Yong-kui, Kupper T. Generalized Hopf Bifurcation Emanated from a Corner for Piecewise Smooth Planar Systems [J]. Nonlinear Anal, 2005, 62(1 ) : 1-17.
  • 3郑丹,董险峰,孙慧群,毓石,张然.平面分片光滑系统中同宿环的稳定性[J].吉林大学学报（理学版）,2007,45(3):349-352. 被引量：1
  • 4Filippov A F. Differential Equations with Discontinuous Righthand Sides: Volume 18 of Mathematics and Its Applications (Soviet Series) [ M ]. Dordrecht: Kluwer Academic Publishers Group, 1988.

二级参考文献9

  • 1Di Bernardo M,Budd C,Champneys A.Grazing,Skipping and Sliding:Analysis of the Non-smooth Dynamics of the DC/DC Buck Converter[J].Nonlinearity,1998,11(4):859-890.
  • 2ZOU Yong-kui,Kpper T,Beyn W J.Generalized Hopf Bifurcation for Planar Filippov Systems Continuous at the Origin[J].J Nonlinear Sci,2006,16(2):159-177.
  • 3DU Zheng-dong,ZHANG Wei-nian.Melnikov Method for Homoclinic Bifurcation in Nonlinear Impact Oscillators[J].Comput Math Appl,2005,50(3/4):445-458.
  • 4Dulac H.On Limit Cycles[J].Bull Soc Math France,1923,51:45-188.
  • 5Andronov A A,Leontovich E A,Gordon I I,et al.Theory of Bifurcations of Dynamic Systems on a Plane[M].New York:Halsted Press,1973.
  • 6FENG Bei-ye,QIAN Min.The Stability of a Saddle Point Separatrix Loop and a Criterion for Its Bifurcation Limit Cycles[J].Acta Math Sinica,1985,28(1):53-70.
  • 7HAN Mao-an,ZHU De-ming.The Bifurcation Theory of Differential Equation[M].Beijing:China Coal Industry Press,1994.
  • 8YE Yan-qian,CAI Sui-lin,CHEN Lan-sun,et al.Theory of Limit Cycles,Volume 66 of Translations of Mathematical Monographs[M].2nd ed.Providence,RI:American Mathematical Society,1986.
  • 9Giannakopoulos F,Kpper T,ZOU Yong-kui.Homoclinic Bifurcations in a Planar Dynamical System[J].Internat J Bifur Chaos Appl Sci Engrg,2001,11(4):1183-1191.

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吉林大学学报（理学版）
2008年 第2期

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