Determination of edge of chaos in hysteresis CNN model with memristor synapses

Angela Slavova, Galina Bobeva · 2017

This paper deals with Hysteresis Cellular Nonlinear Networks (HCNN) with memristor synapses. First, we consider the hysteresis phenomena in a memristive system. We introduce HCNN model working in relaxation oscillator mode, in which the resistor is replaced by a memristor. Edge of chaos regime is determined for the HCNN model based on local activity theory. Numerical simulations and applications are presented in order to illustrate the obtained theoretical results.

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