Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings

DOI10.1007/BF02308758zbMath0919.28005OpenAlexW1978433123MaRDI QIDQ1272277

Melnik, Valery S.

Publication date: 15 August 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02308758

zbMATH Keywords

attractorsHausdorff dimensionBanach spacefractal dimensioninvariant subsetmultimapping

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Hausdorff and packing measures (28A78)

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Cites Work

• Attractors of nonautonomous dynamical systems and an estimation of their dimension
• On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
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