Fractal dimensions of almost periodic attractors

DOI10.1017/S014338570000910XzbMath0857.58030OpenAlexW2160072662MaRDI QIDQ4892470

Koichiro Naito

Publication date: 17 March 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s014338570000910x

zbMATH Keywords

Hausdorff dimensionfractal dimensionsalmost periodic attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items

Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations ⋮ Fractal dimension of quasi-periodic orbits ⋮ On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations

Cites Work

• The Lyapunov dimension of strange attractors
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• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Quantitative universality for a class of nonlinear transformations
• On the nature of turbulence
• Asymptotic behavior of nonlinear contraction semigroups
• Dimensionality of Invariant Sets for Nonautonomous Processes