This paper investigates the anti-synchronization of identical hyperchaotic Newton-Leipnik systems (Ghosh and Bhattacharya, 2010) via sliding mode control. The stability results derived in this paper for the anti-synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Numerical simulations are shown to illustrate and validate the anti-synchronization...

The obective of the paper is to develop a new hyperchaotic system with a single equilibrium point. The system is more hyperchaotic, larger bandwidth and complex than many other reported hyperchaotic systems. The proposed hyperchaotic system has non-uniform contraction and expansion of volume in phase space. Different theoretical and numerical techniques are used to analyse the proposed hypercha...

In the paper, some basic dynamic properties of a new fractional-order hyperchaotic system were firstly investigated, such as the phase trajectory, bifurcation diagram, Lyapunov exponent etc. Then the paper designed an analog circuit to implement the fractional-order hyperchaotic system. The results from the circuit were consistent with those from the numerical analysis, and thus the hyperchaoti...

This paper derives new results for the hybrid synchronization of identical hyperchaotic Liu systems (Liu, Liu and Zhang, 2008) via sliding mode control. In hybrid synchronization of master and slave systems, the odd states of the two systems are completely synchronized, while their even states are antisynchronized. The stability results derived in this paper for the hybrid synchronization of id...

This paper derives new results for the sliding controller design for the hybrid synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of a pair of chaotic systems consisting of master and slave systems, the odd states of the systems are completely synchronized, while the even states are anti-synchronized so that complete synchronization (CS) a...

This paper studies the problem of the circuit implementation and the finite-time synchronization for the 4D (four-dimensional) Rabinovich hyperchaotic system. The electronic circuit of 4D hyperchaotic system is designed. It is rigorously proven that global finite-time synchronization can be achieved for hyperchaotic systems which have uncertain parameters.

In this paper we described the process of generating a high-dimensional hyperchaos in signal communication and computer chaotic encryption. We found out four new high-dimensional complex hyperchaotic systems and three regular ways to generate highdimensional hyperchaotic systems. Then we revealed the relationship between the low-dimensional chaos and highdimensional hyperchaos and studied the f...

In this paper, new results have been obtained via sliding mode control for the hybrid chaos synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of master and slave systems, the odd states are completely synchronized, while the even states are anti-synchronized. The stability results derived in this paper for the hybrid synchronization of ide...

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...

This paper investigates the adaptive control and synchronization of an uncertain modified hyperchaotic Lü system recently discovered by Wang, Zhang, Zheng and Li (2006). This paper deploys nonlinear control for controlling the hyperchaos of the modified hyperchaotic Lü system with unknown parameters and then synchronizing two identical modified hyperchaotic Lü systems with unknown parameters. F...