Open-plus-closed-loop(OPCL) control method is a more general and physically realizable coupling scheme that can provide stable CS(complete synchronization) and AS(anti-synchronization) in identical and mismatched oscillators. Grosu et. al,[111, 112] recently reported projective synchronization in chaotic systems through open-plus-closed-loop(OPCL) coupling. Hyperchaotic systems possessing at le...

In this paper, we investigate adaptive switched generalized function projective synchronization between two new different hyperchaotic systems with unknown parameters, which is an extension of the switched modified function projective synchronization scheme. Based on the Lyapunov stability theory, corresponding adaptive controllers with appropriate parameter update laws are constructed to achie...

This paper presents the synchronization between uncertain hyperchaotic and chaotic systems. Based on Lyapunov stability theory, an adaptive controller is derived to achieve synchronization of hyperchaotic and chaotic systems, including the case of unknown parameters in these two systems. The T.N.Č. hyperchaotic oscillator is used as the master system, and the Rössler system is used as the slave...

Anti-synchronization of chaotic systems is a research problem that deals with synchronizing the states of master and slave systems at a phase of 180 degrees, i.e. the states are equal in magnitude but opposite in sign. This paper deals with the anti-synchronization research problem of identical hyperchaotic Lü systems (Zhao and Lü, 2008) and new results are derived via sliding mode control. Thi...

A static output feedback fuzzy (SOFF) control approach is proposed in order to deal with the problem of synchronization of two identical hyperchaotic systems. The T-S fuzzy model with its small number of fuzzy IF-THEN rules is employed to represent many typical nonlinear hyperchaotic systems. Based on the T-S fuzzy hyperchaotic models and Lyapunov stability theory, a necessary condition for the...

We investigate the adaptive hybrid synchronization problem for a new hyperchaotic system with uncertain parameters. Based on the passivity theory and the adaptive control theory, corresponding controllers and parameter estimation update laws are proposed to achieve hybrid synchronization between two identical uncertain hyperchaotic systems with different initial values, respectively. Numerical ...

In this paper, we investigate the finite-time synchronization problem of a novel hyperchaotic complex-variable system which generates 2-, 3and 4-scroll attractors. Based on the finite-time stability theory, two control strategies are proposed to realize synchronization of the novel hyperchaotic complex-variable system in finite time. Finally, two numerical examples have been provided to illustr...

In this work we study the synchronization between identical pairs of hyperchaotic mathematical systems symmetrically coupled. Calculations are performed firstly in two well-known hyperchaotic systems, and then compared with the results obtained coupling symmetrically two Takens–Bogdanov systems (TBS) which represent a bifurcation in Codimension 2 (a point with two modes bifurcating simultaneous...

This article addresses control for the chaos synchronization of hyperchaotic Chen system with five uncertain parameters. Based on the Lyapunov stability theory, an adaptive control law is derived to make the states of two identical hyperchaotic Chen systems asymptotically synchronized. Finally, a numerical simulations is presented to show the effectiveness of the proposed chaos synchronization ...

*Correspondence: [email protected] 1School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing 404120, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synch...