Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors

DOI10.1007/s10955-018-1972-6zbMath1397.37030arXiv1701.08743OpenAlexW2763286444MaRDI QIDQ1753256

Maria Jose Pacifico, Isaia Nisoli, Stefano Galatolo

Publication date: 28 May 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08743

zbMATH Keywords

skew productdecay of correlationscontracting Lorenz attractorRovella flow

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (4)

Noise induced order for skew-products over a non-uniformly expanding base ⋮ On the statistical stability of families of attracting sets and the contracting Lorenz attractor ⋮ Extreme value distributions for one-parameter actions on homogeneous spaces ⋮ Extensions with shrinking fibers

Cites Work

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• Ordinary Differential Equations
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