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In this paper we consider finite dimensional dynamical systems generated by aLipschitz function. We prove a version of the Whitney's Extension Theorem oncompact manifolds to obtain a version of the well-known Lambda Lemma forLipschitz functions. The notions of Lipschitz transversality and hyperbolicityare investigated in the context of finite dimension with a norm weaker than$C^1$-norm and stronger than $C^0$-norm.

A Lipschitz version of the $\lambda$-Lemma and a characterization of homoclinic and heteroclinic orbits