正弦驱动噪声Hopf 振荡器中存在多种随机共振机制。
Multiple mechanisms for stochastic resonance are inherent to sinusoidally driven noisy Hopf oscillators.
机构信息
Department of Otolaryngology-Head and Neck Surgery, Stanford University School of Medicine, Stanford, CA 94305, USA and Laboratory of Sensory Neuroscience, The Rockefeller University, New York, NY 10065, USA.
出版信息
Phys Rev E. 2018 Feb;97(2-1):022226. doi: 10.1103/PhysRevE.97.022226.
To ensure their sensitivity to weak periodic signals, some physical systems likely operate near a Hopf bifurcation. Many systems operating near such a bifurcation exhibit stochastic resonance, but it is unclear which mechanisms for resonance are inherent to the bifurcation. To address this question, we study the sinusoidally forced dynamics of noisy supercritical and subcritical Hopf oscillators. We find four qualitatively different mechanisms for stochastic resonance and determine the conditions for each type of resonance.
为确保对弱周期信号的敏感性，某些物理系统可能在 Hopf 分岔附近运行。许多在这种分岔附近运行的系统表现出随机共振，但尚不清楚分岔固有的共振机制是哪些。为了解决这个问题，我们研究了噪声超临界和亚临界 Hopf 振荡器的正弦驱动力动力学。我们发现了四种不同的随机共振机制，并确定了每种共振类型的条件。
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