Synchronization of Chaos in Discrete Dynamical Systems

Abstract

The objective of this thesis is to present the problem of chaos synchronization. More

specifically, we are interested in the synchronization of discrete nonlinear dynamical sys- tems, whose formulations are given by recurrent functions with the presence of bifurcation

parameters, where a small perturbation in the initial conditions results in a large discrep- ancy between long-term observations.

The unification of observations of two long-term phenomena is equivalent to the syn- chronization of their representative dynamical systems from a certain rank (time) by

applying the various types of synchronization cited in the literature, including Com- plete Synchronization, Anti-Synchronization, Phase Synchronization, Lag Synchroniza- tion, Generalized Synchronization, Projective Synchronization, FSHP Synchronization,

and Q-S Synchronization.