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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Nonequilibrium potential for arbitrary-connected networks of FitzHugh-Nagumo elements
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Nonequilibrium potential for arbitrary-connected networks of FitzHugh-Nagumo elements

机译：FitzHugh-Nagumo单元的任意连接网络的非平衡势

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摘要

We study an array of N units with FitzHugh-Nagumo dynamics linearly coupled. The system is submitted to a subthreshold harmonic signal and independent Gaussian white noises with a common intensity eta. In the limit of adiabatic driving, we analytically calculate the system's nonequilibrium potential for arbitrary linear coupling. We illustrate its applicability by investigating noise-induced effects in an excitable regular network with extended antiphase coupling. In particular, the levels of noise for short-wavelength phase-instability, network's synchronization and depinning of "defects" (groups of contiguous inhibited neurons on an antiphase background) are theoretically predicted and numerically confirmed. The origin of these collective effects and the dependence with parameters of the most probable length of defects are explained in terms of the system's nonequilibrium potential.
机译：我们研究FitzHugh-Nagumo动力学线性耦合的N个单位的阵列。系统经受亚阈值谐波信号和具有共同强度eta的独立高斯白噪声。在绝热驱动的极限下，我们分析性地计算了任意线性耦合系统的非平衡电位。我们通过研究具有扩展的反相耦合的可激励规则网络中的噪声诱发效应来说明其适用性。尤其是，从理论上预测并通过数值确定了短波相位不稳定，网络同步和固定“缺陷”（在反相位背景下的连续抑制神经元组）的噪声水平。这些集体效应的起源以及对缺陷最可能长度的参数的依赖性是根据系统的非平衡电位来解释的。

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