| We describe the eeect of phase synchronization of chaotic oscillators. It is shown that phase can be deened for continuous time dynamical oscillators with chaotic dynamics , and eeects of phase and frequency locking can be observed. We introduce several tools which characterize this weak synchronization and demonstrate phase and frequency locking by external periodic force, as well as due to ...

This paper derives new results for the adaptive control and synchronization design of the Shimizu-Morioka chaotic system (1980), when the system parameters are unknown. First, we build an adaptive controller to stabilize the Shimizu-Morioka chaotic system to its unstable equilibrium at the origin. Then we build an adaptive synchronizer to achieve global chaos synchronization of the identical Sh...

This paper aims towards synchronization of Bhalekar-Gejji chaotic system and its application to secure communication. Synchronization is achieved using suitable nonlinear active control (NAC) scheme. Proposed synchronization is used to achieve secure communication using NAC. For secure communication, the information signal is masked with one of the state of chaotic system at transmitter end and...

This paper deals with two types of synchronous behavior of chaotic oscillators — generalized synchronization and noise–induced synchronization. It has been shown that both these types of synchronization are caused by similar mechanisms and should be considered as the same type of the chaotic oscillator behavior. The mechanisms resulting in the generalized synchronization are mostly similar to o...

Experiments on phase and generalized synchronization of two coupled, nonidentical chaotic electrochemical oscillations are presented. We adapt measures of characterizing synchronization of a non-phase-coherent chaotic behavior and compare its properties and physicochemical mechanism to those of a phase-coherent behavior. Phase synchronization sets in along with the onset of generalized synchron...

In this paper we investigate the synchronization problem of drive-response chaotic systems with a scalar coupling signal. By using the scalar transmitted signal from the drive chaotic system, an observer-based response chaotic system with dead-zone nonlinear input is designed. An output feedback control technique is derived to achieve generalized projective synchronization between the drive sys...

The phenomenon of synchronization occurring in a locally coupled map lattice subject to an external drive is compared to the synchronization process in an autonomous coupled map system with similar local couplings plus a global interaction. It is shown that chaotic synchronized states in both systems are equivalent, but the collective states arising after the chaotic synchronized state becomes ...

This paper presents the synchronization of chaotic systems subject to parameter uncertainties. Based on the fuzzy models of chaotic systems, a fuzzy controller is designed to realize chaotic synchronization. A design criterion of the membership functions of fuzzy controller is proposed to facilitate the stability design towards chaotic synchronization when parameter uncertainties are under cons...

This paper investigates the global chaos synchronization of identical Shimizhu-Morioka chaotic systems (Shimizu and Morioka, 1980) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical Shimizu-Morioka chaotic systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, ...

In this paper, we discuss modified projective synchronization of two identical new hyper-chaotic systems by active non linear control. And the stability results derived in this paper for modified projective synchronization of two identical new hyper-chaotic systems are established using Lyapunov stability. Since the Lyapunov exponents are not required for these calculations, the active nonlinea...