ON SPATIAL LYAPUNOV EXPONENTS AND SPATIAL CHAOS

Abstract

In this paper, we investigate the periodic orbits, spatial Lyapunov exponents, and stability of spatially periodic orbits of the general 2D Logistic system [Formula: see text] where a is a real constant and μ is a parameter. The existence of spatial chaos in the sense of Li and Yorke is proved using the Marotto theorem. These results extend the corresponding results in the 1D Logistic system [Formula: see text] where n0is a fixed integer. These results also improve some existing results of the 2D coupled map lattice (CML) model [Formula: see text] where ε > 0 is the coupling constant.