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Breakdown of universality in transitions to spatio-temporal chaos

Tomas Bohr·Martin van Hecke·Rene' Mikkelsen·Mads Ipsen
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Abstract

In this Letter 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 {\em finite} lifetime non-chaotic 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.

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Tomas Bohr, Martin van Hecke, Rene' Mikkelsen, Mads Ipsen. 2001-05-17. Breakdown of universality in transitions to spatio-temporal chaos. https://doi.org/10.1103/physrevlett.86.5482

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