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首页> 外文期刊>Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science >Stochastic resonance induced by novel of motion of FitzHugh-Nagumo random transitions neuron model
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Stochastic resonance induced by novel of motion of FitzHugh-Nagumo random transitions neuron model

机译：FitzHugh-Nagumo随机跃迁神经元模型的运动小说诱发的随机共振

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摘要

In contrast to the previous studies which have dealt with stochastic resonance induced by random transitions of system motion between two coexisting limit cycle attractors in the FitzHugh-Nagumo (FHN) neuron model after Hopf bifurcation and which have dealt with the phenomenon of stochastic resonance induced by external noise when the model with periodic input has only one attractor before Hopf bifurcation, in this paper we have focused our attention on stochastic resonance (SR) induced by a novel transition behavior, the transitions of motion of the model among one attractor on the left side of bifurcation point and two attractors on the right side of bifurcation point under the perturbation of noise. The results of research show: since one bifurcation of transition from one to two limit cycle attractors and the other bifurcation of transition from two to one limit cycle attractors occur in turn besides Hopf bifurcation, the novel transitions of motion of the model occur when bifurcation parameter is perturbed by weak internal noise; the bifurcation point of the model may stochastically slightly shift to the left or right when FHN neuron model is perturbed by external Gaussian distributed white noise, and then the novel transitions of system motion also occur under the perturbation of external noise; the novel transitions could induce SR alone, and when the novel transitions of motion of the model and the traditional transitions between two coexisting limit cycle attractors after bifurcation occur in the same process the SR also may occur with complicated behaviors types; the mechanism of SR induced by external noise when FHN neuron model with periodic input has only one attractor before Hopf bifurcation is related to this kind of novel transition mentioned above. (C) 2004 Elsevier Ltd. All rights reserved.
机译：与先前的研究相反，后者研究了Hopf分叉后FitzHug-Nagumo（FHN）神经元模型中两个共存的极限环吸引子之间系统运动之间随机过渡而引起的随机共振，并研究了由FitzHugh-Nagumo（FHN）神经元模型引起的随机共振现象。当具有周期性输入的模型在Hopf分叉之前只有一个吸引子时产生外部噪声，在本文中，我们将注意力集中在由一种新颖的跃迁行为引起的随机共振（SR），模型的运动在左边一个吸引子之间的跃迁在噪声的干扰下，分叉点的一侧和分叉点右侧的两个吸引子。研究结果表明：由于除了Hopf分支外，还发生了一个从一个极限环吸引子到两个极限环吸引子的分支，另一个从两个极限环吸引子跃迁的分支，所以当分支参数出现时，模型的运动发生了新的转变。被微弱的内部噪音干扰;当FHN神经元模型受到外部高斯分布的白噪声干扰时，模型的分叉点可能会随机地向左或向右轻微偏移，然后在外部噪声的干扰下也会发生系统运动的新颖转变。新的跃迁可以单独诱发SR，而当模型的运动的新跃迁和分叉后两个并存的极限环吸引子之间的传统跃迁在同一过程中发生时，SR也可能以复杂的行为类型发生。带有周期性输入的FHN神经元模型在Hopf分叉之前只有一个吸引子的情况下，由外部噪声引起的SR的机制与上述这种新型跃迁有关。 （C）2004 Elsevier Ltd.保留所有权利。

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