Ising-type and other transitions in one-dimensional coupled map lattices with sign symmetry

DOI10.1023/A:1004892312745zbMath0999.82052OpenAlexW177221469MaRDI QIDQ5942289

Alessandro Pellegrinotti, G. Cosimi, Leonid A. Bunimovich, Carlo Boldrighini, Sandro Frigio

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004892312745

zbMATH Keywords

chaotic systemscoupled map latticesIsing-type phase transitionsnearest neighbor diffusive coupling

Mathematics Subject Classification ID

Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (9)

Coupled map lattices: one step forward and two steps back ⋮ Mean-field coupling of identical expanding circle maps ⋮ Symmetry breaking in a globally coupled map of four sites ⋮ TOOLS FOR NETWORK DYNAMICS ⋮ Lyapunov spectrum of a lattice of chaotic systems with local and non-local couplings ⋮ Breaking of ergodicity in expanding systems of globally coupled piecewise affine circle maps ⋮ Phase transition and correlation decay in coupled map lattices ⋮ Collective behavior in a chain of van der Pol oscillators with power-law coupling ⋮ Kolmogorov-Sinai entropy for locally coupled piecewise linear maps

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