Recurrence near given sets and the complexity of the Casati-Prosen map

DOI10.1016/J.CHAOS.2004.06.075zbMath1080.37047OpenAlexW1999127089MaRDI QIDQ1776624

Mirko Degli Esposti, Stefano Galatolo

Publication date: 12 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.075

zbMATH Keywords

complexityinvariant measurearea-preserving map

Mathematics Subject Classification ID

Quantum chaos (81Q50) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Low-dimensional dynamical systems (37E99)

Related Items (2)

Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems ⋮ “Metric” complexity for weakly chaotic systems

Cites Work

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• The mathematical aspects of quantum maps. Collected papers of a summer school, Bologna, September 1--11, 2001
• On Devaney's Definition of Chaos
• Complexity, initial condition sensitivity, dimension and weak chaos in dynamical systems
• Recurrence and algorithmic information
• Strict Ergodicity and Transformation of the Torus
• Hausdorff dimension of measures via Poincaré recurrence
• Information and dynamical systems: A concrete measurement on sporadic dynamics

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