On the Morse theory of attractors: a functional approach

DOI10.1016/j.na.2021.112466zbMath1478.37079OpenAlexW3174350857MaRDI QIDQ1979262

Mo Jia, De-Sheng Li

Publication date: 2 September 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112466

zbMATH Keywords

attractorcritical groupdeformation lemmaMorse inequalitysemiflowMorse equationMorse-Lyapunov function

Mathematics Subject Classification ID

Attractors (35B41) Stability of topological dynamical systems (37B25) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

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Attractor bifurcation for positive solutions of evolution equations

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