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Noise-supported travelling waves in sub-excitable media

Author

Listed:
  • Sándor Kádár

    (West Virginia University)

  • Jichang Wang

    (West Virginia University)

  • Kenneth Showalter

    (West Virginia University)

Abstract

The detection of weak signals of nonlinear dynamical systems in noisy environments may improve with increasing noise, reaching an optimal level before the signal is overwhelmed by the noise. This phenomenon, known as stochastic resonance1,2, has been characterized in electronic3, laser4, magnetoelastic5, physical6 and chemical7 systems. Studies of stochastic resonance and noise effects in biological8,9 and excitable dynamical systems10,11,12,13 have attracted particular interest, because of the possibility of noise-supported signal transmission in neuronal tissue and other excitable biological media. Here we report the positive influence of noise on wave propagation in a photosensitive Belousov–Zhabotinsky14,15,16,17 reaction. The chemical medium, which is sub-excitable and unable to support sustained wave propagation, is illuminated with light that is spatially partitioned into an array of cells in which the intensity is randomly varied. Wave propagation is enhanced with increasing noise amplitude, and sustained propagation is achieved at an optimal level. Above this level, only fragmented waves are observed.

Suggested Citation

  • Sándor Kádár & Jichang Wang & Kenneth Showalter, 1998. "Noise-supported travelling waves in sub-excitable media," Nature, Nature, vol. 391(6669), pages 770-772, February.
    • Handle: RePEc:nat:nature:v:391:y:1998:i:6669:d:10.1038_35814
    DOI: 10.1038/35814
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    Cited by:

    1. Hütt, Marc-Thorsten & Jain, Mitul K. & Hilgetag, Claus C. & Lesne, Annick, 2012. "Stochastic resonance in discrete excitable dynamics on graphs," Chaos, Solitons & Fractals, Elsevier, vol. 45(5), pages 611-618.
    2. Yuan, Guoyong & Xu, Lin & Xu, Aiguo & Wang, Guangrui & Yang, Shiping, 2011. "Spiral waves in excitable media due to noise and periodic forcing," Chaos, Solitons & Fractals, Elsevier, vol. 44(9), pages 728-738.

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