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Noisy uncoupled chaotic map ensembles violate the law of large numbers

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Publication:4491985
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DOI10.1103/PhysRevLett.69.3306zbMath1050.37523WikidataQ74518847 ScholiaQ74518847MaRDI QIDQ4491985

Sudeshna Sinha

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)



Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Foundations of time-dependent statistical mechanics (82C03)


Related Items

Dynamical behavior of the multiplicative diffusion coupled map lattices, Collective behavior in ensembles of globally coupled maps, Size-independent differences between the mean of discrete stochastic systems and the corresponding continuous deterministic systems, Comment on ‘‘Noisy uncoupled chaotic map ensembles violate the law of large numbers’’



Cites Work

  • Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice: Towards a Prelude of a "Field Theory of Chaos"
  • Spatiotemporal Intermittency in Coupled Map Lattices
  • Globally coupled chaos violates the law of large numbers but not the central-limit theorem
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