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Critical properties of phase transitions in lattices of coupled logistic maps

P. Marcq·H. Chate·P. Manneville
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Abstract

We numerically demonstrate that collective bifurcations in two-dimensional lattices of locally coupled logistic maps share most of the defining features of equilibrium second-order phase transitions. Our simulations suggest that these transitions between distinct collective dynamical regimes belong to the universality class of Miller and Huse model with synchronous update.

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P. Marcq, H. Chate, P. Manneville. 2006-05-02. Critical properties of phase transitions in lattices of coupled logistic maps. https://doi.org/10.1143/ptps.161.244

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