On the C1 robust transitivity of the geometric Lorenz attractor

Abstract The geometric Lorenz attractor is an attractor set constructed in such a way that it satisfies the main qualitative properties evidenced on the Lorenz system equations, particularly the fact that this attractor is a robustly transitive set. In this paper we prove the C 1 -robust transitivity by using geometric properties for singular hyperbolic sets and without the assumption of the uniformly linearizing coordinates around the singularity.