Complex Phase Synchronization in an Array of Oscillators Coupled by Time-Varying Resistor

Abstract — In recent years, many people have been trying to develop some applications to information processing by ex-ploiting oscillatory phenomena in neural networks. Bifurcation and stability of equilibrium points in a simple neural oscillator consisting of two neurons have been analyzed in detail. On the other hand, oscillatory phenomena in the simple neural oscillator can be modeled by electrical circuit such as van der Pol oscillators. In this study, we propose a network model of simple oscillators coupled by time-varying resistor, which can explain some interesting complex phenomena observed in a large scale network of neurons coupled by both excitability and inhibitory synapses. By carrying out computer simulations and circuit experiments, we confirm the generation of various interesting phenomena which cannot be observed in simple coupled oscillatory networks. I