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平面自治系统的规范型与闭轨族周期的临界点 被引量:8

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摘要 本文通过平面复自治系统的规范型研究实系统具有可线性化的中心和鞍点的条件,定义了k-阶广义细中心及其判定量,给出了计算判定量的递推公式,并对三次系统,讨论了周期的临界点分枝问题.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 1991年第4期490-501,共12页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金
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参考文献4

  • 1刘一戎,中国科学.A,1989年,3期,245页
  • 2Chow S N,Casopis Pro Peslovani Mathematikg,1986年,111卷,14页
  • 3Chow S N,J Diff Equs,1986年,64卷,51页
  • 4张芷芬,微分方程定性理论,1985年

同被引文献51

  • 1刘一戎,李继彬.论复自治微分系统的奇点量[J].中国科学(A辑),1989,20(3):245-255. 被引量:94
  • 2Liu yirong, Li jibin. Theory of values of singular point in complex autonomous differential system. Science in China (Series A), 1990, 33:10-24.
  • 3Chavarriga J, Gine J, Garcla I. Isochronous centers of a linear center perturbed by fifth degree homogrneous polynomial. J Comput Appl Math, 2000, 126:351-368.
  • 4Antoni Gasull, Victor Manosa. An explicit expression of the first Liapunov and period constants with applications. Journal of Mathematical Analysis and Applications, 1997, 211:190-212.
  • 5Liu Yirong, Huang Wentao. A new method to determine isochronous center conditions for polynomial differential systems. Bulletin des Sciences Mathematiques, 2003, 127:133-148.
  • 6Gravel S, Thibault P. Integrability and linearizability of the Lotka-Volterra system with a saddle point with rational hyperbolicity ratio. J Diff Equations, 2002, 184:20-47.
  • 7Fend Dahe,Li Jibin. Exact explicit travelling wave solu- tions for the(n + 1)-dimensional φ6 field model[J]. Phys- ics Letters A, 2007,369: 255-261.
  • 8Chen Aiyong, Li J ibin, H uang Wentao. The monotonicity and critical periods of periodic wave of the φ6 field model [J]. Nonlinear Dyn, 2011,63 : 205-215.
  • 9Khare A, Saxena A. Domain wall and periodic solutions of coupled φ4 models in an external field[J]. Journal of Mathematical Physics, 2006,47 : 092902.
  • 10Khare A, Saxena A. Domain wall and periodic solutions of coupled φ6 models[J]. Journal of Mathematical Phys- ics,2008,49:063301.

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