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A formal background for basic type autowaves formation by a cellular neural network

机译:由蜂窝神经网络形成基本类型自动形成的正式背景

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In this work, a formal background for the choice of parameters of Cellular Neural Network generating basic types of autowaves, namely, a round traveling front, a round traveling pulse and a spiral wave, is presented. This background is based on investigation of phase plane properties of a CNN cell. The required conditions for emergence of the traveling front and the traveling pulse using a one-cell initial condition are presented for two types of CNNs: with one stable node and with two stable nodes on the phase plane of a neuron pair. Simulating results are described for the round traveling front and the round traveling pulse initiated by the one-cell initial condition and for spiral waves initiated by random initial conditions.
机译:在这项工作中,提供了一种用于选择蜂窝神经网络参数的正式背景,产生基本类型的自动类型,即圆形行驶前沿,圆形行驶脉冲和螺旋波。该背景基于CNN细胞的相面性质的研究。使用单电池初始条件的行进前部和行驶脉冲出现的所需条件是针对两种类型的CNN:具有一个稳定节点,并且在神经元对的相面上具有两个稳定的节点。模拟结果用于圆形行驶前部和由单电池初始条件发起的圆形行驶脉冲和由随机初始条件发起的螺旋波。

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