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