Nonautonomous perturbations of Morse-Smale semigroups: stability of the phase diagram

DOI10.1007/s10884-021-10066-6OpenAlexW3205890159WikidataQ115383007 ScholiaQ115383007MaRDI QIDQ2097604

Geneviève Raugel, Matheus Cheque Bortolan, José Antonio Langa, Alexandre Nolasco De Carvalho

Publication date: 14 November 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-021-10066-6

zbMATH Keywords

dynamically gradient evolution processhyperbolic global solutionsMorse-Smale evolution processMorse-Smale semigroups

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dynamical systems with hyperbolic orbits and sets (37D05) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Topological dynamics of nonautonomous systems (37B55) Morse-Smale systems (37D15)

Related Items (9)

A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation ⋮ Lipschitz perturbations of Morse-Smale semigroups ⋮ Convergence rate for perturbations of Morse-Smale semiflow ⋮ Parabolic equations with localized large diffusion: rate of convergence of attractors ⋮ Autonomous and non-autonomous unbounded attractors under perturbations ⋮ Topological equivalence of global attractors for Lipschitz perturbations of the Chafee-Infante equation ⋮ A Morse-Smale ordinary differential equation in \(\mathbb{R}^N\) ⋮ Structure of non-autonomous attractors for a class of diffusively coupled ODE ⋮ Non-autonomous dynamical systems

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