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2007 Fiscal Year Final Research Report Summary

self-tuning and stochastic resonance-theory and application of information processing with use of noise

Research Project

Project/Area Number 18560060
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionKyoto University

Principal Investigator

MUNAKATA Toyonori  Kyoto University, Dep. Applied Math, And Physics, Professor (40026357)

Project Period (FY) 2006 – 2007
Keywordsself-tuning / stochastic resonance / threshold system / noise intensity / double-well system / two-state system
Research Abstract

(A) selftuning and stochastic resonance-mathematical aspects of threshold systems
We choose a threshold value and the noise intensity as important parameters to characterize a simple threshold system.
By applying the self-tuning mechanism to these parameters, separately or simultaneously, we estimate perforniance of the system based on mutual information and signal to noise ratio (SNR). We also studied how the response of the threshold value to slowly varying external input signals.. Due to the feedback we found that the response become slower and there occurs an ergodic-nonergodic transition in the threshold system.
(B) self-tuning and stochastic resonance-mathematical aspects of two-state system.
As an approximate description of the double-well system,дwo-state system has been studied intensively. We introduced the mechanism of self-tuning to the two-state model and studied its effects and discussed the relation between the self-tuning and stochastic resonance.
(C) self-tuning and information processing-filtering and its application to picture processing High sensitivity of our auditory system is explained based on the idea of selftuning. The environment where the auditory system is put may be very noisy or very quiet. So in order to achieve good performance irrespective of the environment it is put in, it is desirable to have some mechanism by which we can adjust the threshold value to the noise intensity of the environment. We applied this idea to the picture reproduction in conjunction with the filter theory.
(D) Stochastic resonance in the FitzHugh-Nagumo model.
The FitzHugh-Nagumo model is usually described by a differential equation. We introduce and define the mutual information (M) to this Continuous time system and discussed stochastic resonance based on the MI

  • Research Products

    (15 results)

All 2007 2006 Other

All Journal Article (14 results) (of which Peer Reviewed: 8 results) Remarks (1 results)

  • [Journal Article] Self-tuning of threshold for a two-state system2007

    • Author(s)
      B. Seo, R. Krishnan, T Munakata
    • Journal Title

      Phys. Rev. E75

      Pages: 056106(1-6)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Self-tuning and stochastic resonance in a simple threshold system-A filter theory approach-2007

    • Author(s)
      T. Munakata, T. Hada, M. Ueda
    • Journal Title

      Physica A375

      Pages: 492-498

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Piston dynamics from a microcanonical ensemble2007

    • Author(s)
      M. Uranagase, T. Munakata
    • Journal Title

      Phys. Rev. E75

      Pages: 011110(1-6)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Self-tuning of threshold for a two-state system2007

    • Author(s)
      B. Seo R. Krishnan, T. Munakata
    • Journal Title

      Phys. Rev. E 75

      Pages: 056106

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] "Self-tuning and stochastic resonance in a simple threshold system" A filter theory approach2007

    • Author(s)
      T. Munakata, T. Hada, M. Ueda
    • Journal Title

      Physica A 375

      Pages: 492-498

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Statistical mechanics of two hard spheres in a box2006

    • Author(s)
      M. Uranagase, T. Munakata
    • Journal Title

      Phys. Rev. E74

      Pages: 066101(1-10)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Ergodic-nonergodic transition in a threshold system with feedback.2006

    • Author(s)
      B. Seo, T. Munakata
    • Journal Title

      Phys. Rev. E74

      Pages: 026119(1-6)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Filtering for simple threshold systems : self-tuning, mutual information and applications.2006

    • Author(s)
      T. Hada, T. Munakata
    • Journal Title

      IEICE Trans. E89-A

      Pages: 2566-2574

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Stochastic resonance in the FitzHugh-Nagumo model from a dynamic mutual information point of view.2006

    • Author(s)
      T. Munakata, M. Kamiyabu
    • Journal Title

      Eur. Phys. J. B53

      Pages: 239-243

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Stationary probability flow and vortices for the Smoluchowski-Feynmanratchet2006

    • Author(s)
      D. Suzuki, T. Munakata
    • Journal Title

      Physica A368

      Pages: 16-24

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
  • [Journal Article] Ergodic-nonergodic transition in a threshold system with feedback2006

    • Author(s)
      B. Seo, T. Munakata
    • Journal Title

      Phys. Rev. E74

      Pages: 026119

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Filtering for simple threshold systems: self-tuning, mutual information and applications2006

    • Author(s)
      T. Hada, T. Munakata
    • Journal Title

      IEICE Trans. E 89-A

      Pages: 2566-2574

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Stochastic resonance in the FitzHugh-Nagumo model from a dynamic mutual information point of view2006

    • Author(s)
      T. Munakata, M. Kamiyabu
    • Journal Title

      Eur. Phys. J. B 53

      Pages: 239-243

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Stationary probability flow and vortices for the Smoluchowski-Feynman ratchet2006

    • Author(s)
      D. Suzuki, T. Munakata
    • Journal Title

      Physica A 365

      Pages: 16-24

    • Description
      「研究成果報告書概要(欧文)」より
  • [Remarks] 「研究成果報告書概要(和文)」より

    • URL

      http://amech.amp.i.kyoto-u.ac.jp/index.php?FrontPage

URL: 

Published: 2010-06-09  

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