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Resonance in a Chaotic Neuron Model Driven by a Weak Sinusoid

Shin MIZUTANI, Takuya SANO, Tadasu UCHIYAMA, Noboru SONEHARA

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Summary :

We show by numerical calculations that a chaotic neuron model driven by a weak sinusoid has resonance. This resonance phenomenon has a peak at a drive frequency similar to that of noise-induced stochastic resonance (SR). This neuron model was proposed from biological studies and shows a chaotic response when a parameter is varied. SR is a noise induced effect in driven nonlinear dynamical systems. The basic SR mechanism can be understood through synchronization and resonance in a bistable system driven by a subthreshold sinusoid plus noise. Therefore, background noise can boost a weak signal using SR. This effect is found in biological sensory neurons and obviously has some useful sensory function. The signal-to-noise ratio (SNR) of the driven chaotic neuron model is improved depending on the drive frequency; especially at low frequencies, the SNR is remarkably promoted. The resonance mechanism in the model is different from the noise-induced SR mechanism. This paper considers the mechanism and proposes possible explanations. Also, the meaning of chaos in biological systems based on the resonance phenomenon is considered.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.4 pp.671-679
Publication Date
1999/04/25
Publicized
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DOI
Type of Manuscript
PAPER
Category
Neural Networks

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