Estimate for the entropy dimension of the maximal attractor for \(k\)-contracting systems in an infinite-dimensional space.

M. A. Blinchevskaya, Yulij S. Ilyashenko

Publication date: 3 September 2002

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dimension theory of smooth dynamical systems (37C45)

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Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D ⋮ Attractors. Then and now ⋮ Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations ⋮ On estimations of the generalized Hausdorff dimension ⋮ Maximum local Lyapunov dimension bounds the box dimension. Direct proof for invariant sets on Riemannian manifolds

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