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arxiv: nlin/0605004 · v1 · submitted 2006-05-02 · 🌊 nlin.AO

Critical properties of phase transitions in lattices of coupled logistic maps

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keywords transitionscollectivecoupledlatticeslogisticmapsphasebelong
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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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