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耦合弛豫振荡器中的随机多共振

Stochastic multiresonance in the coupled relaxation oscillators.

作者信息

Volkov E I, Ullner E, Kurths J

机构信息

Department Theoretical Physics, Lebedev Physical Institute, Leninskii 53, Russia.

出版信息

Chaos. 2005 Jun;15(2):23105. doi: 10.1063/1.1899287.

Abstract

We study the noise-dependent dynamics in a chain of four very stiff excitable oscillators of the FitzHugh-Nagumo type locally coupled by inhibitor diffusion. We could demonstrate frequency- and noise-selective signal acceptance which is based on several noise-supported stochastic attractors that arise owing to slow variable diffusion between identical excitable elements. The attractors have different average periods distinct from that of an isolated oscillator and various phase relations between the elements. We explain the correspondence between the noise-supported stochastic attractors and the observed resonance peaks in the curves for the linear response versus signal frequency.

摘要

我们研究了由抑制剂扩散局部耦合的四个非常刚性的FitzHugh-Nagumo型可激发振荡器链中的噪声相关动力学。我们能够证明基于几个噪声支持的随机吸引子的频率和噪声选择性信号接受,这些吸引子是由于相同可激发元件之间的慢变量扩散而产生的。这些吸引子具有与孤立振荡器不同的平均周期以及元件之间的各种相位关系。我们解释了噪声支持的随机吸引子与线性响应与信号频率曲线中观察到的共振峰之间的对应关系。

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