Lipschitz perturbations of Morse-Smale semigroups
Abstract
In this paper we will deal with Lipschitz continuous perturbations of Morse-Smale semigroups with only equilibrium points as critical elements. We study the behavior of the structure of equilibrium points and their connections when subjected to non-differentiable perturbations. To this end we define more general notions of hyperbolicity and transversality, which do not require differentiability.
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