– In this paper an approach to achieve synchronization of hyperchaotic circuits using a proper onedimensional signal is presented. The robustness of the proposed synchronization technique to parameter mismatch and to the presence of channel noise is investigated. The approach is effectively applied to hyperchaotic circuits constituted by two bidirectionally coupled Chua's oscillators. Key-Words...

In this paper, a new hyperchaotic system is obtained by introducing an additional state, and adding two nonlinear terms of the original states and one linear term of the new state to the Chen chaotic system. Particular attention is given to globally exponential hyperchaos (time-delayed) synchronization and control for this hyperchaotic system. As a consequence, several families of control laws ...

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...

This paper studies stability and hybrid synchronization of a time-delay financial hyperchaotic system. Based on Lyapunov stability theorem and differential inequalities, stability is obtained by intermittent linear state feedback control. Furthermore, hybrid synchronization method is firstly proposed to synchronize a financial hyperchaotic system and globally synchronization is obtained by prop...

This paper presents synchronization of a new autonomous hyperchaotic system. The generalized backstepping technique is applied to achieve hyperchaos synchronization for the two new hyperchaotic systems. Generalized backstepping method is similarity to backstepping. Backstepping method is used only to strictly feedback systems but generalized backstepping method expands this class. Numerical sim...

Abstract. In this paper a four-dimensional hyperchaotic system with only one equilibrium is considered and it is shown how the control and the synchronization of this system can be realized via two different control techniques. Firstly, we propose a periodically intermittent controller to stabilize the system states to the equilibrium and to achieve the projective synchronization of the system ...

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...

Abstract This article deals with anti-synchronization between different hyperchaotic systems such as Lu system and Newton-Leipnik system; and Newton-Leipnik system and Rossler system using adaptive control method. Based on Lyapunov stability theory, the anti synchronization between a pair of hyperchaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter ...

In this article, the active control method is used for hybrid synchronization between two fractional order hyperchaotic systems, Chen hyperchaotic system taken as the master system and the other fractional order hyperchaoticLu system taken as slave system separately. The fractional derivative is described in Caputo sense. Numerical simulation results which are carried out using Adams–Bashforth–...

This work investigates modified function projective synchronization between two different hyperchaotic dynamical systems, namely, hyperchaotic Lorenz system and hyperchaotic Chen system with fully unknown parameters. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to achieve modified function projective synchronized between two diffierent hy...