RADJAI, Abdelbari2025-10-202025-10-202025-06-03http//localhost:8080/jspui/handle/123456789/13361The 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.enChaos, Synchronization, Dynamic Systems, Bifurcation, Maps, Lyapunov Exponents, Active and AdaptiveThesis