Breakdown of Universality in Transitions to Spatiotemporal Chaos

Tomas Bohr, Martin van Hecke, René Mikkelsen, and Mads Ipsen
Phys. Rev. Lett. 86, 5482 – Published 11 June 2001
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Abstract

We show that the transition from laminar to active behavior in extended chaotic systems can vary from a continuous transition in the universality class of directed percolation with infinitely many absorbing states to what appears as a first-order transition. The latter occurs when finite lifetime nonchaotic structures, called “solitons,” dominate the dynamics. We illustrate this scenario in an extension of the deterministic Chaté-Manneville coupled map lattice model and in a soliton including variant of the stochastic Domany-Kinzel cellular automaton.

  • Received 17 August 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.5482

©2001 American Physical Society

Authors & Affiliations

Tomas Bohr1, Martin van Hecke2, René Mikkelsen2, and Mads Ipsen3

  • 1Department of Physics, The Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
  • 2Center for Chaos and Turbulence Studies, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark
  • 3Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany

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Vol. 86, Iss. 24 — 11 June 2001

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