Abstract
Chaotic resonance (CR) is a phenomenon similar to stochastic resonance (SR), but without stochastic noise. SR, in which the presence of noise helps a nonlinear system in amplifying a weak (under-barrier) signal, has been observed in neural systems. However, there has been no fundamental study that investigates the signal responses of CR in the spiking neural system. In this chapter, focusing on the Izhikevich neuron model, which can reproduce major spike patterns observed experimentally, we reveal the properties of its chaotic dynamical states and the signal response in CR. Through computer simulations, we have confirmed that both strong and weak chaotic states in CR can respond to the weak signal sensitively, and moreover, the weak chaotic state has a much prompter response than the strong chaotic state.
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