In this paper, the problems on chaos control and synchronization of Li chaotic systems with unknown parameters are considered. Firstly, the Li chaotic systems are introduced. Secondly, the adaptive control system with only two state feedbacks for synchronization of the Li chaotic systems is presented and the parameter identification method is also given. Sufficient conditions for the stability ...

This paper aims to present the combination of chaotic signal and evolutionary algorithm to estimate the unknown parameters in five-dimension chaos synchronization system via the Pecora-Carroll method. The self-organizing migrating algorithm was used to estimate the unknown parameters. Based on the results from evolutionary algorithm, two identical chaotic systems were synchronized. Key-Words: S...

In this paper, we have considered phase synchronizations in coupled chaotic systems presented by fractional differential equations. This synchronization occurs when some eigenvalues of the matrix found in the linear approximation of difference evolutional equation between coupled chaotic systems have zero real parts. Here, we have used nonlinear feedback function for synchronization. We have al...

A new type of chaos synchronization, projective dislocated lag synchronization, is investigated of Liu chaotic system under the framework of response system with five uncertain parameters. Based on adaptive technique, the projective dislocated lag synchronization of Liu chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized s...

The issue of impulsive synchronization of a class of chaotic systems is investigated. Based on the impulsive theory and linear matrix inequality technique, some less conservative and easily verified criteria for impulsive synchronization of chaotic systems are derived. The proposed method is applied to the original Chua oscillators, and the corresponding synchronization conditions are obtained....

The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and ...

We study phase synchronization (PS) of coupled chaotic oscillators as a result of an interplay between local coupling and global noise. In the weak coupling region, noise first significantly enhances spatiotemporal PS, but it spoils the phase coherence of chaotic oscillation and reduces the degree of synchronization at large intensities. The spatiotemporal behavior exhibits coherence resonance....

We consider generalized synchronization of complex networks, which are unidirectionally coupled in the drive-response configuration. The drive network consists of linearly and diffusively coupled identical chaotic systems. By choosing suitable driving signals, we can construct the response network to generally synchronize the drive network in a predefined functional relationship. This extends b...

It has been recently investigated that the jerk dynamical systems are the simplest ever systems, which possess variety of dynamical behaviours including chaotic motion. Interestingly, the jerk dynamical systems also describe various phenomena in physics and engineering such as electrical circuits, mechanical oscillators, laser physics, solar wind driven magnetosphere ionosphere (WINDMI) model, ...

For a class of unified chaotic systems with parameter uncertainty, a robust impulsive synchronization scheme is proposed. Based on the theory of impulsive differential equations, some new and less conservative sufficient conditions are established in order to guarantee the robust synchronization of the chaotic systems. In particular, some simple and practical conditions are derived in synchroni...