The dynamic behavior of fractional order systems have received increasing attention in recent years, In this paper the reliable phase synchronization problem between two coupled chaotic fractional order system with varying time is constructed, An active delay expected synchronization between two coupled chaotic fractional order systems and hyperchaotic fractional order systems is analyzed by ut...

Recently, a novel three-dimensional highly chaotic attractor has been discovered by Srisuchinwong and Munmuangsaen (2010). This paper investigates the adaptive control and synchronization of this highly chaotic attractor with unknown parameters. First, adaptive control laws are designed to stabilize the highly chaotic system to its unstable equilibrium point at the origin based on the adaptive ...

The phenomenon of chaotic system synchronization is very interesting because of its high potential of applications. In this paper results from various synchronization schemes in the form of a survey articles with a tutorial emphasis has been presented. Chaotic dynamical systems having features such as sensitive dependence on initial conditions and topological mixing along with periodic dense or...

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale synchronization [Chaos 14, 603-610 (2004)]. This approach is based on the consideration of the infinite set of chaotic signals' phases introduced by means of ...

This paper investigates the global chaos synchronization of identical Lü-Chen-Cheng four-scroll chaotic systems (Lü, Chen and Cheng, 2004) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical Lü-Chen-Cheng four-scroll chaotic systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for th...

We show that the synchronization of chaotic systems can be achieved by using the observer design techniques which are widely used in the control of dynamical systems. We show that local synchronization is possible under relatively mild conditions and global synchronization is possible if the chaotic system can be transformed into a special form. We also give some examples including the Lorenz, ...

Chaotic synchronization is the key technology of secure communication. In this paper, an impulsive control method for chaotic synchronization of two coupled Lorenz chaotic system was proposed. The global asymptotic synchronization of two Lorenz systems was realized by using the linear error feedback of the state variables of the drive system and the response system as impulsive control signal. ...

− This paper presents a new output feedback technique for synchronizing chaotic circuits. In particular, it is shown that synchronization can be systematically achieved via a scalar signal for a large class of chaotic systems. The approach is successfully applied to the recently proposed Chua’s circuit with x|x| nonlinearity. Key-words: – Chaotic circuits, Synchronization, Feedback techniques, ...

Synchronization phenomenon has been studied intensively because of its application in many fields, and one of it is secure communication. There are many ways for synchronization, such as feedback method, adaptive techniques, time delay feedback approach, backstepping method, with nonlinear control [10]. We will prove here synchronization and anti-synchronization between two chaotic systems of d...

The appearance of the chaotic synchronization regimes has been discovered for the coupled spatially extended beam-plasma Pierce systems. The coupling was introduced only on the right bound of each subsystem. It has been shown that with coupling increase the spatially extended beam-plasma systems show the transition from asynchronous behavior to the phase synchronization and then to the complete...