LYAPUNOV SPECTRA OF COUPLED CHAOTIC MAPS

Abstract

Largest Lyapunov exponents and Lyapunov spectra of desynchronous coupled chaotic maps with finite coupling strength are investigated by considering different map functions. For sufficiently large system size there exists a parameter region where the largest Lyapunov exponents are independent of system size and coupling strength. This parameter region is called the scaling region. Some scaling exponent and scaling function in the distribution of Lyapunov spectra are found. These scaling behaviors are model independent. All the above numerical observations are explained, based on heuristic physical understanding of the competition of intensity of chaoticity, and strength of coupling, and on an analogy of the discrete coupled maps with continuous extended systems.