Recurrent dimensions of quasi-periodic solutions for nonlinear evolution equations

DOI10.1090/S0002-9947-01-02901-4zbMath0986.35011OpenAlexW1863511135MaRDI QIDQ2759058

Koichiro Naito

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02901-4

zbMATH Keywords

Diophantine approximationnonlinear partial differential equationsdiscrete dynamical systemsfractal dimension

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Resonance in context of PDEs (35B34) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (2)

Entropy and recurrent dimensions of discrete dynamical systems given by \(p\)-adic expansions ⋮ Recurrent properties of quasi-periodic dynamical systems with multiple frequencies of \(p\)-adic Liouville numbers

Cites Work

• Diophantine approximation
• On the almost periodicity of solutions of a reaction diffusion system
• Dimension estimate of almost periodic attractors by simultaneous Diophantine approximation
• Integrals which are convex functionals
• Nonlinear semigroups and evolution equations
• Integrals which are convex functionals. II
• Fractal dimensions of almost periodic attractors
• Nonlinear evolution equations in Banach spaces
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