ASYMPTOTIC STATES IN COUPLED MAP LATTICES

DOI10.1142/S0218127408020318zbMath1143.37329MaRDI QIDQ3520733

Alexandre Baraviera, Marcelo M. Disconzi

Publication date: 26 August 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

dynamical systemssymbolic dynamicscoupled maps

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Symbolic dynamics (37B10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Cites Work

• Unnamed Item
• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension
• Gibbs measures and phase transitions
• High temperature expansions and dynamical systems
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Spacetime chaos in coupled map lattices
• Pattern formation outside of equilibrium

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