In recent years, the study of synchronization of identical chaotic systems subjected to a common fluctuating random driving signal has drawn considerable interest. In this communication, we report that it is possible to achieve synchronization between two identical chaotic systems, which are not coupled directly but subjected to an external chaotic signal. The external chaotic signal may be obt...

This paper proposes a synchronization methodology of two chaotic oscillators under the framework of identical synchronization and master-slave configuration. The proposed methodology is based on state observer design under the frame of control theory; the observer structure provides finite-time synchronization convergence by cancelling the upper bounds of the main nonlinearities of the chaotic ...

Whether common noise can induce complete synchronization in chaotic systems has been a topic of great relevance and long-standing controversy. We first clarify the mechanism of this phenomenon and show that the existence of a significant contraction region, where nearby trajectories converge, plays a decisive role. Second, we demonstrate that, more generally, common noise can induce phase synch...

In this paper, global chaos synchronization problem is investigated for WINDMI (J.C. Sportt, 2003) and Coullet (P. Coullet, et al., 1979) chaotic systems using active feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. The controller design can be divided into two steps: the first one needs the derivation of c...

In a digital communications system, data is transmitted from one location to another by mapping bit sequences to symbols, and symbols to sample functions of analog waveforms. The analog waveform passes through a bandlimited (possibly time-varying) analog channel, where the signal is distorted and noise is added. In a conventional system the analog sample functions sent through the channel are w...

A method of targeting synchronization and its control is reported in chaotic oscillators. This proposes design of appropriate coupling using an open-plus-closed-loop (OPCL) scheme based on Hurwitz stability to establish a desired state of synchrony between the oscillators. In the synchronization state, a chaotic attractor can be scaled up or down in size relative to another attractor. Additiona...

Impulsive synchronization of chaotic dynamic systems has some important applications to chaotic secure communication and chaotic spread-spectrum communication systems. In this paper we present some experimental results on impulsive synchronization between two Chua’s circuits. In our experiments, only one synchronizing impulse sequence is transmitted. The robustness of impulsive synchronization ...