Characterization of the dynamics of coupled Hénon map lattices

Abstract

A method was analyzed to characterize spatially extended non-linear dynamic systems that exhibit both periodic and chaotic spatio-temporal behavior. The system is a two-dimensional square lattice of coupled Hénon maps (CHML) that interact with nearest neighbors through diffusive coupling. Focusing on just one of the maps of the lattice (network) and on one of its dynamic variables, this method is compared against two other forms of characterization of the dynamic behavior of the network. It is shown that the sampling of a single map provides more consistent and effective results than the other two methods.