Recurrent solutions of a nonautonomous modified Swift-Hohenberg equation

DOI10.1016/j.amc.2020.125270zbMath1460.37014arXiv1907.04000OpenAlexW2958854905MaRDI QIDQ2180678

Jintao Wang, Lu Yang, Jin-qiao Duan

Publication date: 14 May 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04000

zbMATH Keywords

Conley indexgradient systemsnonautonomous dynamical systemsrecurrent functionsmodified Swift-Hohenberg equations

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Topological dynamics of nonautonomous systems (37B55) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (6)

Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation ⋮ Invariant measures and statistical solutions for a nonautonomous nonlocal Swift–Hohenberg equation ⋮ Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift–Hohenberg equation ⋮ Regularity of pullback random attractors and invariant sample measures for nonautonomous stochastic \(p\)-Laplacian lattice systems ⋮ Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation ⋮ Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise

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