Invariant manifolds, global attractors, almost automorphic and almost periodic solutions of non-autonomous differential equations

DOI10.1016/j.jmaa.2007.08.046zbMath1128.37009OpenAlexW1965645871MaRDI QIDQ2467774

Björn Schmalfuss, David N. Cheban

Publication date: 28 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.08.046

zbMATH Keywords

invariant manifoldsglobal attractoralmost periodic solutionsnonautonomous dynamical system

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Invariant manifold theory for dynamical systems (37D10) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60) Monotone systems involving ordinary differential equations (34C12)

Related Items (7)

RANDOM DIFFERENTIAL EQUATIONS WITH RANDOM DELAYS ⋮ Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations ⋮ Compact global attractors of control systems ⋮ Compact global chaotic attractors of discrete control systems ⋮ Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients ⋮ Compact global chaotic attractors of discrete control systems ⋮ Levitan/Bohr almost periodic and almost automorphic solutions of second order monotone differential equations

Cites Work

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