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arXiv · 1705.09947

Lipschitz perturbations of Morse-Smale semigroups

M. C. Bortolan·C. A. E. N. Cardoso·A. N. Carvalho·L. Pires
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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 \emph{hyperbolicity} and \emph{transversality}, which do not require differentiability.

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M. C. Bortolan, C. A. E. N. Cardoso, A. N. Carvalho, L. Pires. 2017-05-28. Lipschitz perturbations of Morse-Smale semigroups. https://arxiv.org/abs/1705.09947

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