Upper estimates for the Hausdorff dimension of negatively invariant sets of local cocycles

DOI10.1134/S1064562411050103zbMath1231.37016OpenAlexW2129596013MaRDI QIDQ656403

A. S. Slepukhin, Volker Reitmann, Gennady Alekseevich Leonov

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411050103

zbMATH Keywords

Hausdorff dimensionnonautonomous differential equationslocal cocycles

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dimension theory of smooth dynamical systems (37C45)

Related Items (6)

Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing ⋮ Existence and dimension properties of a global \(\mathcal B\)-pullback attractor for a cocycle generated by a discrete control system ⋮ Existence and estimation of the Hausdorff dimension of attractors for an epidemic model ⋮ Asymptotic behaviour of a non-autonomous Lorenz-84 system ⋮ Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor ⋮ Attractors for a Nonautonomous Liénard Equation

Cites Work

• The Forni cocycle
• An application of topological dynamics to obtain a new invariance property for nonautonomous ordinary differential equations
• Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors
• Hausdorff dimension of invariant sets for random dynamical systems
• Unnamed Item
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