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DYNAMICS IN A CLASS OF NEURON MODELS
Abstract:In this paper, we investigate the dynamics in a class of discrete-time neuron mod-els. The neuron model we discussed, defined by such periodic input-output mapping as a sinusoidal function, has a remarkably larger memory capacity than the conven-tional association system with the monotonous function. Our results show that the orbit of the model takes a conventional bifurcation route, from stable equilibrium, to periodicity, even to chaotic region. And the theoretical analysis is verified by numerical simula...
Keywords:discrete-time neuron model   periodic activation function   periodic-doubling bifurcation   anti-integrable limit method   chaos  
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