Acta Scientiarum Naturalium Universitatis Pekinensis

Previous Articles     Next Articles

Continuation Method for Periodic Solution after Hopf Bifurcation

BAO Yangang, WU Jike   

  1. Department of Mechanics, Peking University, Beijing, 100871
  • Received:1994-09-05 Online:1995-09-20 Published:1995-09-20



  1. 北京大学力学系,北京,100871

Abstract: In this article Various kinds of methods about the solution of nonlinear system dx/dtF(x, λ) after the Hopf Bifurcation are discussed. We improve the method metioned in reference [2] and give the numerical solution of the van der Pol equations.

Key words: Hopf bifurcation, continuation methods, limit circle

摘要: 讨论了求解非线性系统dx/dtF(x, λ)Hopf分叉后周期解的各种方法,改进了文献[2]中提出的方法,并给出了vanderPol方程的数值解。

关键词: Hopf分叉, 延续算法, 极限环

CLC Number: