ON FRACTIONAL ORDER MAPS AND THEIR SYNCHRONIZATION

We study the stability of linear fractional order maps. show that in stable region, evolution is described by Mittag-Leffler functions and a well-defined effective Lyapunov exponent can be obtained these cases. For one-dimensional systems, this related to corresponding differential equation. A equivalent map [Formula: see text] for where parameter text]. coupled maps, we obtain ‘normal modes’ reduce an system. If coefficient matrix has real eigenvalues, system dictated normal modes. complex much richer picture. However, exponent. larger text], determined modulus eigenvalues. extend studies fixed points nonlinear