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Critical properties of phase transitions in lattices of coupled logistic maps

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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https://hal.archives-ouvertes.fr/hal-00084189
Contributor : Philippe Marcq <>
Submitted on : Thursday, July 6, 2006 - 1:20:58 AM
Last modification on : Friday, April 23, 2021 - 3:15:25 AM

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Philippe Marcq, Hugues Chaté, Paul Manneville. Critical properties of phase transitions in lattices of coupled logistic maps. Proceedings of the International Symposium on Nonlinear Oscillations, 2006, France. pp.244-250. ⟨hal-00084189⟩

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