Oscillation death in a coupled van der Pol–Mathieu system

Pramana

Dipak Sarmah¹  Madhurjya P Bora1¹ 

[1] Physics Department, Gauhati University, Guwahati 781 014, India$$

关键词: Nonautonomous oscillator;    coupled oscillator;    oscillation death;    centre manifold.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We report an investigation of the oscillation death (OD) of a parametrically excited coupled van der Pol–Mathieu (vdPM) system. The system can be considered as a pair of harmonically forced van der Pol oscillators under a double-well potential. The two oscillators are coupled with a cubic nonlinearity. We have shown that the system arrives at an OD regime when coupling strength crosses a threshold value at which the system undergoes saddle-node bifurcation and two limit cycles coalesce onto a fixed point of the system. We have further shown that this nonautonomous system possesses a centre manifold corresponding to the OD regime.

【 授权许可】

Unknown