Title: Complete synchronisation of non-identical fractional order hyperchaotic systems using active control

Authors: Muzaffar Ahmad Bhat; Shikha

Addresses: Faculty of Natural Sciences, Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India ' Faculty of Natural Sciences, Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

Abstract: This manuscript investigates the complete synchronisation of non-identical fractional order hyperchaotic system via active control technique. The hyperchaotic fractional order Chen system is taken as master system and a new fractional order hyperchaotic system is taken as a slave system. The controllers are constructed using active control technique to ensure the complete synchronisation between master and slave system. Simulations results show that our scheme can not make the two systems synchronised, but also let them remain chaotic states.

Keywords: fractional order hyperchaotic system; active control; stability; synchronisation.

DOI: 10.1504/IJAAC.2019.098207

International Journal of Automation and Control, 2019 Vol.13 No.2, pp.140 - 157

Received: 10 May 2017
Accepted: 18 Jun 2017
Published online: 06 Mar 2019 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article