Dimension estimate of almost periodic attractors by simultaneous Diophantine approximation

DOI10.1006/jdeq.1997.3318zbMath0889.35052OpenAlexW2041628617MaRDI QIDQ1377547

Koichiro Naito

Publication date: 18 June 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3318

zbMATH Keywords

Diophantine approximationfractal dimensions

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Set-valued operators (47H04)

Related Items (3)

Unnamed Item ⋮ Entropy and recurrent dimensions of discrete dynamical systems given by \(p\)-adic expansions ⋮ Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations

Cites Work

• On the existence of almost periodic complete trajectories for contractive almost periodic processes
• Free boundary problems and the set-valued mappings
• On convergence and asymptotically almost periodicity of solutions of reaction-diffusion systems
• On the almost periodicity of solutions of a reaction diffusion system
• Asymptotic behavior of trajectories for some nonautonomous, almost periodic processes
• Infinite-dimensional dynamical systems in mechanics and physics
• Integrals which are convex functionals
• Nonlinear semigroups and evolution equations
• On the nature of turbulence
• Integrals which are convex functionals. II
• Positive periodic solutions of predator-prey reaction-diffusion systems
• Perturbations of nonlinear maximal monotone sets in banach space
• Nonlinear evolution equations in Banach spaces
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