Lipschitz perturbations of Morse-Smale semigroups

DOI10.1016/j.jde.2020.01.024zbMath1443.37058arXiv1705.09947OpenAlexW3002662068MaRDI QIDQ2180541

C. A. E. N. Cardoso, Matheus Cheque Bortolan, Leonardo Pires, Alexandre Nolasco De Carvalho

Publication date: 14 May 2020

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

Full work available at URL: https://arxiv.org/abs/1705.09947

zbMATH Keywords

topological dynamicstransversalityLipschitz perturbationsMorse-Smale semigroupsinfinite-dimensional dynamics

Mathematics Subject Classification ID

General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Morse-Smale systems (37D15)

Related Items

Morse-Smale inequalities and Chafee-Infante attractors ⋮ Global attractors of generic reaction diffusion equations under Lipschitz perturbations ⋮ Structural stability and rate of convergence of global attractors ⋮ Topological equivalence of global attractors for Lipschitz perturbations of the Chafee-Infante equation ⋮ A Lipschitz version of the \(\lambda\)-lemma and a characterization of homoclinic and heteroclinic orbits ⋮ The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations ⋮ Topological stability of Chafee-Infante equations under Lipschitz perturbations of the domain and equation ⋮ Lipschitz perturbations of the Chafee-Infante equation ⋮ Nonautonomous perturbations of Morse-Smale semigroups: stability of the phase diagram ⋮ Continuity and topological structural stability for nonautonomous random attractors

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