Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Lipschitz perturbations of Morse-Smale semigroups

Full text
Author(s):
Bortolan, M. C. [1] ; Cardoso, C. A. E. N. [2] ; Carvalho, A. N. [2] ; Pires, L. [3]
Total Authors: 4
Affiliation:
[1] Univ Fed Santa Catarina, Dept Matemat, Campus Trindade, Florianopolis, SC - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP - Brazil
[3] Univ Estadual Ponta Grossa, Dept Matemat & Estat, Ponta Grossa, PR - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Differential Equations; v. 269, n. 3, p. 1904-1943, JUL 15 2020.
Web of Science Citations: 0
Abstract

In this paper we deal with Lipschitz continuous perturbations of gradient Morse-Smale semigroups (all critical elements are equilibria). We study the permanence of connections between equilibrium points (structural stability) when subjected to Lipschitz perturbations. To this end we extend the notions of hyperbolicity and transversalityto the cases in which differentiability is no longer available. (C) 2020 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 12/00033-3 - Continuity of global attractors: The use of correctors to obtain better rate of convergence.
Grantee:Cesar Augusto Esteves das Neves Cardoso
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 18/10997-6 - Robustness of attractors under autonomous or non-autonomous perturbatinos: Structural Stability
Grantee:Alexandre Nolasco de Carvalho
Support Opportunities: Scholarships abroad - Research