In this paper, a class of chaotic systems with both discrete and distributed time-varying delays are considered without assuming the differentiability of the time-varying delays, the stabilization and synchronization for the considered chaotic systems are investigated via intermittent control with nonfixed both control period and control width. Several delay-dependent criteria for checking the ...

In this paper, a method for synchronizing chaotic systems in continuous-time is presented. The approach, which exploits the model-matching problem from nonlinear control theory, is advantageously applied to achieve complete synchronization and output synchronization of identical and nonidentical chaotic systems, respectively. Some potential applications to secure communication for audio and bin...

This paper investigates the functional projective synchronization problem for chaotic systems. Based on Lyapunov stability theory, a nonlinear control scheme for the synchronization is proposed. Numerical simulations on Chen chaotic system are presented to verify the usefulness of the proposed control scheme.

We analytically establish and numerically show that anomalous frequency synchronization occurs in a pair of asymmetrically coupled chaotic space extended oscillators. The transition to anomalous behaviors is crucially dependent on asymmetries in the coupling configuration, while the presence of phase defects has the effect of enhancing the anomaly in frequency synchronization with respect to th...

This paper proposes a unified framework to achieve chaos synchronization of both classes of chaotic discrete-time systems, namely maps involving polynomial nonlinearities and piecewise linear maps. It is shown that all of those chaotic systems can be rewritten as a polytopic Linear Parameter Varying (LPV) system. A unified approach to tackle chaos synchronization problems encountered in communi...

In this paper, we consider the fuzzy model-based designs for the complete synchronization of chaotic systems. T-S fuzzy model for chaotic systems are exactly derived. Based on the T-S fuzzy model, the fuzzy logic controllers for chaotic synchronization are designed via Linear Matrix Inequality (LMI). Lyapunov Exponent of lorenz system is calculated, one of them is positive which represents the ...

Many methods have been proposed to synchronize chaotic systems. The most widely used methods are the continuous synchronization schemes [Pecora & Carroll, 1990], where the driving signals are transmitted continuously to the driven systems. The other synchronization schemes are impulsive synchronization [Panas et al., 1998] and selective synchronization [Itoh et al., 2000]. In an impulsive synch...

This paper studies the synchronization problem of a new chaotic four-Dimensional System presented by Qi et al. Two different methods, passive control method and impulsive control method are used to control synchronization of the fourdimensional chaotic system. Numerical simulations show the effectiveness of the two different methods.

The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, the synchronization of two coupled nonlinear fractional order chaotic oscillators is numerically demonstrated using the master–slave synchronization scheme. It is shown that fractional-order chaotic oscillators can be synchronized with appropriate coupling strength. 2005 Elsevier Ltd. A...

Some chaotic systems have two coexisting attractors depending on initial values in same parameters. In these systems, changing parameters causes switching phenomena of coexisting attractors. In this study, we investigate switching phenomena in coupled chaotic systems as a ladder. We define a quasi synchronization and confirmed the quasi synchronization phenomena in proposed systems.