Characterization of the Lorenz system, taking into account the equivariance of the vector field

Abstract

We characterize the chaotic attractors of the Lorenz system associated with R=28 and R=90 (reduced Rayleigh number) by using a partition that takes into account the equivariance of the vector field. The population of unstable periodic orbits is extracted and encoded respectively with binary and three letter symbolic dynamics. Templates are proposed for these R values.