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Minimal model for spatial coherence resonance.

Matjaz Perc1, Marko Marhl

  • 1Department of Physics, Faculty of Education, University of Maribor, Koroska cesta 160, SI-2000 Maribor, Slovenia. matjaz.perc@uni-mb.si

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
Summary

This study presents a minimal model for spatial coherence resonance in excitable media. Noise can induce spatial periodicity, offering insights into pattern formation.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Excitable media exhibit complex spatio-temporal dynamics.
  • Spatial coherence resonance is a phenomenon where noise enhances spatial periodicity.

Purpose of the Study:

  • To introduce a minimal model for spatial coherence resonance.
  • To analytically investigate noise-induced spatial periodicity in excitable media.

Main Methods:

  • Modeling a planar medium with a 1D excitable system and piecewise linear potential.
  • Analytical treatment of the spatially extended system.
  • Deriving the dependence of resonant wave number on system parameters.

Main Results:

  • The proposed model successfully demonstrates spatial coherence resonance.
  • The resonant wave number's dependency on diffusion and local excursion time was derived.
  • Identified mechanisms for noise-induced spatial periodicity.

Conclusions:

  • A minimal excitable system can exhibit spatial coherence resonance.
  • Analytical insights into noise-driven pattern formation in excitable media.
  • Understanding the role of parameters in emergence of spatial periodicity.

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