Chaotic behavior of the CML model with respect to the state and coupling parameters

Abstract

The main aim of this paper is the study of dynamical properties of the Laplacian-type coupled map lattice induced by the logistic family on a periodic lattice depending on two parameters: the state parameter of the logistic map and the coupling constant. For this purpose, tools like maximal Lyapunov exponent, approximate entropy, and the 0-1 test for chaos are introduced and applied to numerical simulations performed using a supercomputer.