Universal Cellular Computing on the Edge of Chaos

A. Slavova, V. Ignatov
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Abstract

In this work we present a special class of memristor Cellular Nonlinear/Nanoscale Networks (MCNN) operating on the edge of chaos. We study the dynamics of Gierer-Menhardt system for pattern formation in living cells. We determine three regions in the parameter set: locally active and stable, locally active and unstable and locally passive. Throughout extensive simulations we obtain non-uniform spatial-pattern generation of MCNN model in the edge of chaos domain. Applications in EEG signal generation are shown in order to predict the epileptic seizures.
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混沌边缘的通用细胞计算
在这项工作中,我们提出了一类特殊的运行在混沌边缘的忆阻细胞非线性/纳米网络(MCNN)。我们研究了活细胞中模式形成的Gierer-Menhardt系统动力学。我们在参数集中确定了三个区域:局部主动和稳定,局部主动和不稳定以及局部被动。通过大量的仿真,我们得到了混沌域边缘MCNN模型的非均匀空间模式生成。在脑电图信号生成中的应用,以预测癫痫发作。
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