Chaotic synchronization of two complex nonlinear oscillators

摘要: Abstract Synchronization is an important phenomenon commonly observed in nature. It also often artificially induced because it desirable for a variety of applications physics, applied sciences and engineering. In recent paper [Mahmoud GM, Mohamed AA, Aly SA. Strange attractors chaos control periodically forced complex Duffing’s oscillators. Physica A 2001;292:193–206], system oscillators was introduced shown to display chaotic behavior possess strange attractors. Such appear many problems physics engineering, as, example, nonlinear optics, deep-water wave theory, plasma bimolecular dynamics. Their connection solutions the Schrodinger equation has been pointed out. this paper, we study remarkable synchronization on these oscillator systems, using active global techniques. We derive analytical expressions functions show that dynamics error evolution globally stable, by constructing appropriate Lyapunov functions. This means that, relatively large set initial conditions, differences between drive response systems vanish exponentially achieved. Numerical results are obtained test validity illustrate efficiency techniques inducing our