关键词: 极限环, Vanderpol振子, 并行算法, 多分裂波形松弛

Abstract: This paper provides a parallel algorithm to treat periodic orbit and period of second-order coupled Vanderpol oscillator with multi degree of freedom. By changing the time scale, the period of the system is drawn into the governing equation, and then solves an initial value problem through a multi-splitting waveform relaxation method which can transform a boundary value problems into initial value problem. At the same time, in order to calculate the system period, it designs a period iteration algorithm. Finally, this paper gives some numerical simulation studies of the system in order to verify the analytic results.

Key words: limit cycle, Vanderpol oscillator, parallel algorithm, multi-splitting waveform relaxation methods