Statistical properties of 2‐D generalized hyperbolic attractors

DOI10.1063/1.166073zbMath1055.37526OpenAlexW1997996398WikidataQ52347409 ScholiaQ52347409MaRDI QIDQ4526322

E. A. Sataev, Nikolai I. Chernov, Valentin Afraimovich

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166073

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

Encoding \(n\)-to-1 Baker's transformations ⋮ Statistical Properties of Lorenz-like Flows, Recent Developments and Perspectives ⋮ Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps ⋮ Ghost attractors in blinking Lorenz and Hindmarsh–Rose systems ⋮ Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors ⋮ SRB measures for polygonal billiards with contracting reflection laws ⋮ Symbolic dynamics of Belykh-type maps ⋮ MAP BASED MODELS IN NEURODYNAMICS ⋮ Lorenz-like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence ⋮ Limit theorems and Markov approximations for chaotic dynamical systems ⋮ A Lorenz-type attractor in a piecewise-smooth system: Rigorous results

Cites Work

• Ergodic properties of the Lozi mappings
• Statistical properties of the periodic Lorentz gas. Multidimensional case
• Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus
• Steady-state electrical conduction in the periodic Lorentz gas
• Statistical properties of two-dimensional hyperbolic billiards
• Deterministic Nonperiodic Flow
• Markov partitions for two-dimensional hyperbolic billiards
• On the Smoothness Properties of a Family of Bernoulli Convolutions

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