• Oscillation death in a coupled van der Pol–Mathieu system

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    • Keywords


      Nonautonomous oscillator; coupled oscillator; oscillation death; centre manifold.

    • Abstract


      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.

    • Author Affiliations


      Madhurjya P Bora1 Dipak Sarmah1

      1. Physics Department, Gauhati University, Guwahati 781 014, India
    • Dates

  • Pramana – Journal of Physics | News

© 2017 Indian Academy of Sciences, Bengaluru.