Chaotic signal characteristics allow powerful encryption methods and development of more secure communication systems. In studies conducted in recent years, chaotic masking, chaotic modulation, parametric modulation, inclusion, chaotic shift keying and similar methods [1-6] have been used. Most of these studies are based on synchronization of chaotic systems present in the receiver and transmit...

– The behavior of two unidirectionally coupled chaotic oscillators near the generalized synchronization onset has been considered. The character of the boundaries of the generalized synchronization regime has been explained by means of the modified system approach. Chaotic synchronization is one of the fundamental nonlinear phenomena actively studied recently [1]. Several different types of cha...

Received Jan 5, 2017 Revised Jun 25, 2017 Accepted Jul 10, 2017 In this paper, the synchronization problem of T chaotic system and Lu chaotic system is studied. The parameter of the drive T chaotic system is considered unknown. An adaptive projective lag control method and also parameter estimation law are designed to achieve chaos synchronization problem between two chaotic systems. Then Lyapu...

The phenomenon of chaotic synchronization is investigated from information viewpoint. Synchronization of a "receiver" of chaos with a chaotic "source" is discussed as an ability of the receiver to recover a copy of the chaotic signal generated by the source. Here we show that in terms of the information approach the condition for the chaotic synchronization is not the level of the physical effe...

Synchronization of multiple chaotic oscillators in Hamiltonian form is numerically studied and is achieved by appealing to complex systems theory [1-5]. The topology that we consider is the irregular coupled network. Two cases are considered: i) chaotic synchronization without master oscillator (where the final collective behaviour is a new chaotic state) and ii) chaotic synchronization with ma...

When two characteristically different chaotic oscillators are coupled, generalized synchronization can occur. Motivated by the phenomena that common noise can induce and enhance complete synchronization or phase synchronization in chaotic systems, we investigate the effect of noise on generalized chaotic synchronization. We develop a phase-space analysis, which suggests that the effect can be s...

This paper investigates the global chaos synchronization of identical Qi four-wing chaotic systems (Qi et al., 2008), identical Liu four-wing chaotic systems (Liu, 2009) and identical Wang chaotic systems (Wang et al., 2009). The stability results derived in this paper for the complete synchronization of the three pairs of identical four-wing chaotic systems are established using Lyapunov stabi...

A hybrid projective synchronization scheme for two identical fractional-order chaotic systems is proposed in this paper. Based on the stability theory of fractional-order systems, a controller for the synchronization of two identical fractional-order chaotic systems is designed. This synchronization scheme needs not to absorb all the nonlinear terms of response system. Hybrid projective synchro...

Since the idea of synchronizing two identical chaotic systems under different initial conditions was first introduced by Pecora and Carroll, the synchronization of chaotic systems has attracted much attention, and the synchronization of non-identical chaotic systems has also been investigated. Single-Machine Infinite-Bus (SMIB) power system has nonlinear behaviour. On account of avoiding undesi...

This paper introduces a new chaotic synchronization scheme based on impulsive stability theory. The synchronization of two identical chaotic systems with parametric uncertainties and mismatch is considered. Some sufficient conditions are developed to guarantee the robust synchronization of the chaotic systems. Compared with existing schemes, the amount of information transmitted between the two...