Synchronization of chaotic systems

Finite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems

Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...

Impulsive synchronization of chaotic systems.

The issue of impulsive synchronization of a class of chaotic systems is investigated. Based on the impulsive theory and linear matrix inequality technique, some less conservative and easily verified criteria for impulsive synchronization of chaotic systems are derived. The proposed method is applied to the original Chua oscillators, and the corresponding synchronization conditions are obtained....

11 Synchronization of Chaotic Systems

The first observation of a synchronization phenomenon in physics is attributed to C. Huygens (1673) during his experiments for developing improved pendulum clocks (Huygens, 1673). Two clocks hanging on the same beam of his room were found to oscillate with exactly the same frequency and opposite phase due to the (weak) coupling in terms of the almost imperceptible oscillations of the beam gener...

Synchronization of extended chaotic systems

Synchronization of Chaotic Fractional-Order Lu-Lu Systems with Active Sliding Mode Control

Synchronization of chaotic and Lu system has been done using the active sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and active sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but...