The importance of synchronization reveals both in the practical applications that can be obtained and also in the many phenomena that can be explained by synchronization theory. In biology and medicine many systems can be modeled as oscillators or vibratory systems and those systems show a tendency towards synchronous behavior. Since 1990 chaos synchronization has been a topic of great interest...

In this paper, the authors study chaos synchronization of chaotic systems, which can exhibit a two scroll attractor for different parameter values via linear feedback control. First, chaos synchronization of three dimensional systems is studied and ‘generalized non-linear dynamical systems’ are analyzed. The considered synchronization criterion consists of identical drive and response systems c...

Synchronization dynamics of mutually coupled chaotic semiconductor lasers are investigated experimentally and compared to identical synchronization of unidirectionally coupled lasers. Mutual coupling shows high quality synchronization in a broad area of self-feedback and coupling strengths parameters phase-space. It is found to be tolerant to significant parameter mismatch which in case of unid...

of Rössler Systems Xiaoxin Liao Department of Control Science and Engineering Huazhong University of Technology Wuhan, Hubei, 430074 P. R. China xiaoxin [email protected] Pei Yu Department Of Applied Mathematics University of Western Ontario London, Ontario, N6A 5B7 Canada [email protected] Abstract— This paper considers the global chaos control and synchronization of several classical Rös...

It is of vital importance to exactly estimate the unknown parameters of chaotic systems in chaos control and synchronization. In this paper, we present a method for estimating one-dimensional discrete chaotic system based on mean value method MVM . It is proposed by exploiting the ergodic and synchronization features of chaos. It can effectively estimate the parameter value, and it is more exac...

Chaos is a complex behavior produced by internal random properties of nonlinear, deterministic dynamical systems. Recently, chaos based techniques have received a great deal of attention for the purpose of secure communication. This paper investigates, the performance of a secure communication system using cascaded-drive response synchronization in a noisy channel. Simulation results show that ...

Abstract: In this paper, a chatter free sliding mode control(SMC) strategy for chaos synchronization is proposed to the nonlinear uncertain chaotic systems in the presence of unknown bounded uncertainties and external disturbances. The sliding mode surface with differential operators is introduced to divert the discontinuous function swith term into the first derivative of the control input, an...

In this paper, it is considered that chaos synchronization of Chen fractional order time-delay chaotic systems and its application in secure communication. By use of the fractional calculus techniques, we find that chaos exists in the fractional order Chen system with time delays when the order is less than 3. Firstly, based on the Laplace transform theory, the conditions for achieving synchron...

The design of chaos-based secure communication via synchronized modified Chua’s systems is investigated in this paper. A continuous control law is proposed to ensure synchronization of the master and slave modified Chua’s systems by using the variable structure control technique. Particularly, the concept of extended systems is introduced such that a continuous control input is obtained to avoi...