A characterization of nonautonomous attractors via Stone-Čech compactification

DOI10.12775/TMNA.2021.029zbMath1505.37034OpenAlexW4220808477MaRDI QIDQ2135291

Josiney A. Souza, Pedro F. S. Othechar

Publication date: 6 May 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2021.029

zbMATH Keywords

attractorlimit setsStone-Čech compactificationnonautonomous dynamical systemprolongational limit sets

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) 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)

Cites Work

• Chain recurrence in \(\beta \)-compactifications of topological groups
• Topological dynamics and linear differential systems
• The topological dynamics of semigroup actions
• Stone-Cech Compactifications of Products
• Construction of nonautonomous forward attractors
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
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