Collapse of Spatiotemporal Chaos

Renate Wackerbauer and Kenneth Showalter
Phys. Rev. Lett. 91, 174103 – Published 22 October 2003

Abstract

The transient nature of spatiotemporal chaos is examined in reaction-diffusion systems with coexisting stable states. We find the apparent asymptotic spatiotemporal chaos of the Gray-Scott system to be transient, with the average transient lifetime increasing exponentially with medium size. The collapse of spatiotemporal chaos arises when statistical spatial correlations produce a quasihomogeneous medium, and the system obeys its zero-dimensional dynamics to relax to its stable asymptotic state.

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  • Received 2 June 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.174103

©2003 American Physical Society

Authors & Affiliations

Renate Wackerbauer1 and Kenneth Showalter2

  • 1Department of Physics, University of Alaska, Fairbanks, Alaska 99775-5920, USA
  • 2Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA

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Issue

Vol. 91, Iss. 17 — 24 October 2003

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