LAUSR

It is well known that the Lyapunov exponent plays a fundamental role in dynamical systems. In this note, we propose a definition of Lyapunov exponent for Lipschitz maps, which are not necessarily differentiable. Additionally, we show that the main results which are valid to discrete standard dynamical systems are also true when considering Lipschitz maps instead of considering differentiable maps. Therefore, this novel approach expands the theory of dynamical systems.