Extensive bounds on the topological entropy of repellers in piecewise expanding coupled map lattices

DOI10.1017/S0143385712000144zbMath1279.37016MaRDI QIDQ4928753

R. Coutinho, Bastien Fernandez

Publication date: 18 June 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

topological entropyrepellersexpanding coupled map latticespiecewise affine invidual maps

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Symbolic dynamics (37B10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (4)

Map lattices coupled by collisions: hitting time statistics and collisions per lattice unit ⋮ Understanding Chaotic Dynamical Systems ⋮ Breaking of ergodicity in expanding systems of globally coupled piecewise affine circle maps ⋮ Computer-assisted proof of loss of ergodicity by symmetry breaking in expanding coupled maps

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