Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations

DOI10.3934/dcdsb.2019011zbMath1419.37015OpenAlexW2907930708MaRDI QIDQ1733198

De-Sheng Li, Xue-Wei Ju, Jin-qiao Duan

Publication date: 21 March 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019011

zbMATH Keywords

attractorgradient-like systemnonautonomous perturbationMorse structurenonautonomous equilibriumsynchronizing behavior

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Attractors of solutions to ordinary differential equations (34D45) Topological dynamics of nonautonomous systems (37B55) Synchronization of solutions to ordinary differential equations (34D06)

Related Items

Local equi-attraction of pullback attractor sections, On the Morse theory of attractors: a functional approach, On the forward dynamical behaviour of nonautonomous lattice dynamical systems, On the forward dynamical behavior of nonautonomous systems

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