Presentation 2010-03-10
Stochastic Resonance in a Simple Electrical Circuits having a Double-Well Potential : Laboratory Experiments with a Single Operational Amplifier
Akira UTAGAWA, Tetsuya ASAI, Kazunori YOSHIDA, Yoshihito AMEMIYA,
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Abstract(in English) In this report we propose a double-well potential system that can easily be implemented by a single operational amplifier. The system is described by the same dynamics as traditional analog neurons. First, we introduce a potential function obtained from the proposed dynamics, and show the bistable conditions. Then we examine the stochastic resonance (SR) behavior in the system by extensive computer simulations. As in traditional SR systems, we applied sinusoidal inputs to the system where the potential barrier is dynamically fluctuated (but the barrier is not flatten with this input). The stable points can be fluctuated by adding Gaussian noises when the barrier is vanished by the noise addition. As a result of calculations of signal-to-noise ratios (SNR) of the temporal outputs for various noise strength, we found that the system exhibited qualitatively the same SR characteristics as in traditional double-well SR systems. Finally, we show experimental results of an electronic SR system that is implemented by a single operational amplifier, and demonstrate that the circuit exhibits the same SR behaviors as demonstrated in the proposed double-well potential system.
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Keyword(in English) stochastic resonance / double-well potential / electrical circuits
Paper # NLP2009-171
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Conference Information
Committee NLP
Conference Date 2010/3/2(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Stochastic Resonance in a Simple Electrical Circuits having a Double-Well Potential : Laboratory Experiments with a Single Operational Amplifier
Sub Title (in English)
Keyword(1) stochastic resonance
Keyword(2) double-well potential
Keyword(3) electrical circuits
1st Author's Name Akira UTAGAWA
1st Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University()
2nd Author's Name Tetsuya ASAI
2nd Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University
3rd Author's Name Kazunori YOSHIDA
3rd Author's Affiliation Department of Electronics and Information Engineering, Hokkaido University
4th Author's Name Yoshihito AMEMIYA
4th Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University
Date 2010-03-10
Paper # NLP2009-171
Volume (vol) vol.109
Number (no) 458
Page pp.pp.-
#Pages 6
Date of Issue