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Resonance in a Chaotic Neuron Model Driven by a Weak Sinusoid
Shin MIZUTANI Takuya SANO Tadasu UCHIYAMA Noboru SONEHARA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E82-A
No.4
pp.671-679 Publication Date: 1999/04/25 Online ISSN:
DOI: Print ISSN: 0916-8508 Type of Manuscript: PAPER Category: Neural Networks Keyword: driven chaotic system, chaotic neuron model, biological information processing, stochastic resonance, numerical calculation,
Full Text: PDF(390.4KB)>>
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.
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