In this work we deal with Lipschitz continuous perturbations of gradient Morse-Smale
semigroups (all critical elements are equilibria). We study the the permanence of connections
between equilibrium points (structural stability) when subjected to Lipschitz perturbations.
To this end we extend the notions of hyperbolicity and transversality to the cases for which
differentiability is no longer required.
References
[1] M.C Bortolan, C.A.E.N Cardoso, A.N.Carvalho, L. Pires; Lipschitz perturbations of Morse-Smale semigroups
Journal of differential equations, 269, 1904-1943, 2020.
(Leonardo Pires) Departamento de Matematica e Estatística, Universidade Estadual de
Ponta Grossa, 84030-900 Ponta Grossa PR, Brazil


