Drive-Response Synchronization of a Fractional-Order Hyperchaotic System and Its Circuit Implementation. (2nd September 2013)

• Record Type: Journal Article
• Authors: Zhu, Darui; Liu, Chongxin; Yan, Bingnan
• Other Names: Lefik Marek Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-09-02
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/815765
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : A novel fractional-order hyperchaotic system is proposed; the theoretical analysis and numerical simulation of this system are studied. Based on the stability theory of fractional calculus, we propose a novel drive-response synchronization scheme. In order to achieve this synchronization control, the Adams-Bashforth-Moulton algorithm is studied. And then, a drive-response synchronization controller is designed to realize the synchronization of the drive and response system, and the simulation results are given. At last, the fractional oscillator circuit of the new fractional-order hyperchaotic system is designed based on the EWB software, and it is verified that the simulation results of the fractional-order oscillator circuit are consistent with the numerical simulation results through circuit simulation.