Critical properties of phase transitions in lattices of coupled logistic maps

Details Critical properties of phase transitions in lattices of coupled logistic maps Critical properties of phase transitions in lattices of coupled logistic maps

2006-05-02

arxiv.org/abs/nlin/0605004v1

Prog. Theor. Phys. Suppl. 161 (2006) 244-250

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Scientific paper

10.1143/PTPS.161.244

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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