Synchronization of oscillations underlies organized dynamical behavior of many physical, biological and other systems. Recent studies of the dynamics of coupled systems with complex behavior indicate that synchronization can occur not only in case of periodic oscillations, but also in regimes of chaotic oscillations. Using experimental observations of chaotic oscillations in coupled nonlinear c...

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...

This paper investigates the hybrid chaos synchronization of identical 4-D hyperchaotic Qi systems, 4-D identical hyperchaotic Jia systems and hybrid synchronization of 4-D hyperchaotic Qi and Jia systems. The hyperchaotic Qi system (2008) and hyperchaotic Jia system (2007) are important models of hyperchaotic systems. Hybrid synchronization of the 4-dimensional hyperchaotic systems addressed in...

The present contribution deals with digital data encryption by means of discrete-time chaos synchronization. By this combination of analog nonlinear dynamics with digital signal processing, a larger number of encryption keys and higher computational complexity to break the code is expected compared to standard digital encryption techniques. The chaos synchronization system is based on an emitte...

• Chaos synchronization is investigated using generalized Lorenz systems. High-dimensional systems obtained from the generalizations self-synchronize. Synchronizing chaos in high dimensions can enhance efficacy of image encryption. A broader pattern found between and dimensional differences. provides an important analogue modeling nature. Examples synchronization, pervasive throughout natural w...

In this paper, we study chaos (lag) synchronization of a new LC chaotic system, which can exhibit not only a twoscroll attractor but also two double-scroll attractors for different parameter values, via three types of state feedback controls: (i) linear feedback control; (ii) adaptive feedback control; and (iii) a combination of linear feedback and adaptive feedback controls. As a consequence, ...

The solar-terrestrial environment provides a natural laboratory for observing intermittent turbulence [1]. The degree of non-Gaussianity (intermittency) in a turbulence can be quantified by calculating the normalized fourth-order structure function, also known as kurtosis. Recently, a phase coherence surrogate technique for characterizing phase synchronization was developed for space plasmas [2...

This paper proposes a hybrid control scheme for the synchronization of two chaotic Duffing oscillator system, subject to uncertainties and external disturbances. The novelty of this scheme is that the Linear Quadratic Regulation (LQR) control, Sliding Mode (SM) control and Gaussian Radial basis Function Neural Network (GRBFNN) control are combined to chaos synchronization with respect to extern...

In this paper, we discuss the synchronization and anti-synchronization of two identical chaotic T-systems. The adaptive and nonlinear control schemes are used for the synchronization and anti-synchronization. The stability of these schemes is derived by Lyapunov Stability Theorem. Firstly, the synchronization and anti-synchronization are applied to systems with known parameters, then to systems...