This paper investigates the anti–synchronization problem between two different fractional-order chaotic and hyperchaotic systems using modified adaptive sliding mode control technique in presence of uncertain system parameters. To construct proposed scheme, a simple surface is first designed. Then, sliding-mode controller derived to guarantee occurrence motion. Based on Lyapunov stability theor...

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–...

The paper proposes an anti-synchronization audio watermarking algorithm based on absolute mean quantification and parameter estimation, and combines implicit synchronization technology and explicit synchronization technology, for implementing precise positioning of feature points. By theoretical analysis and experimental results of quantification scheme, the paper designs a multi-valued quantif...

Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...

This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furt...

Synchronization of chaotic and Lu system has been done using the active sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and active sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but...