Ising-type transitions in coupled map lattices.

DOI10.1007/BF02179868zbMath1081.82516MaRDI QIDQ1593303

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

Publication date: 16 January 2001

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

zbMATH Keywords

chaotic systemscoupled map latticesLyapunov dimensionIsing-type transitions

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Iteration theory, iterative and composite equations (39B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

Mean-field coupling of identical expanding circle maps ⋮ Symmetry breaking in a globally coupled map of four sites ⋮ Breaking of ergodicity in expanding systems of globally coupled piecewise affine circle maps ⋮ Phase transition and correlation decay in coupled map lattices ⋮ Coupled map lattices: some topological and ergodic properties ⋮ Non-trivial collective behavior in coupled map lattices: a transfer operator perspective ⋮ Computer-assisted proof of loss of ergodicity by symmetry breaking in expanding coupled maps

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