Stochastic bifurcations and coherencelike resonance in a self-sustained bistable noisy oscillator.
Stochastic bifurcations and coherencelike resonance in a self-sustained bistable noisy oscillator.
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DOI：
10.1103/physreve.81.011106
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发表时间：
2010-01
期刊：
影响因子：
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通讯作者：
A. Zakharova;T. Vadivasova;V. Anishchenko;A. Koseska;Juergen Kurths;Juergen Kurths
中科院分区：
文献类型：
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作者：
A. Zakharova;T. Vadivasova;V. Anishchenko;A. Koseska;Juergen Kurths;Juergen Kurths
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 qualitative change of the stationary amplitude distribution. For the Duffing-Van der Pol oscillator analytical results, obtained for a quasiharmonic approach, are compared with the result of direct computer simulations. In particular, we show that the dynamics is different for isochronous and anisochronous systems. Moreover, we find that the increase of noise intensity in the isochronous regime leads to a narrowing of the spectral line. This effect is similar to coherence resonance. However, in the case of anisochronous systems, this effect breaks down and a new phenomenon, anisochronous-based stochastic bifurcation occurs.
