Stochastic bifurcations and coherencelike resonance in a self-sustained bistable noisy oscillator.

@article{Zakharova2010StochasticBA,
  title={Stochastic bifurcations and coherencelike resonance in a self-sustained bistable noisy oscillator.},
  author={A. S. Zakharova and T. E. Vadivasova and Vadim S. Anishchenko and Aneta Koseska and Juergen Kurths},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={81 1 Pt 1},
  pages={011106}
}
We investigate the influence of additive Gaussian white noise on two different bistable self-sustained oscillators: Duffing-Van der Pol oscillator with hard excitation and a model of a synthetic genetic oscillator. In the deterministic case, both oscillators are characterized with a coexistence of a stable limit cycle and a stable equilibrium state. We find that under the influence of noise, their dynamics can be well characterized through the concept of stochastic bifurcation, consisting in a… CONTINUE READING

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