Breakdown of universality in transitions to spatiotemporal chaos

Tomas Bohr, Martin van Hecke, René Mikkelsen, Mads Ipsen

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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 Chate-Manneville coupled map lattice model and in a soliton including variant of the stochastic Domany-Kinzel cellular automaton.
Original languageEnglish
JournalPhysical Review Letters
Volume86
Issue number24
Pages (from-to)5482-5485
ISSN0031-9007
DOIs
Publication statusPublished - 2001

Bibliographical note

Copyright (2001) American Physical Society

Keywords

  • SYSTEMS
  • COUPLED MAP LATTICES
  • FIELD-THEORY
  • RAYLEIGH-BENARD CONVECTION
  • SPATIO-TEMPORAL INTERMITTENCY
  • CRITICAL-BEHAVIOR
  • ABSORBING STATES
  • PHASE-TRANSITIONS
  • DIRECTED PERCOLATION
  • FRONT

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