Title: Dislocated dual HPS between integer and complex fractional order chaotic systems using tracking controllers with application

Authors: Ayub Khan; Pushali Trikha; Taqseer Khan

Addresses: Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India ' Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India; Department of Applied Mathematics, School of Vocational Studies and Applied Sciences, Gautam Buddha University, Greater Noida, India ' Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India

Abstract: In this article, the dislocated dual hybrid projective synchronisation on two chaotic integer order master systems and two chaotic complex fractional order slave systems is realised. Suitable tracking controllers are designed based on the stability theory of the fractional differential equations. Numerical simulations are performed on complex fractional order Lu system and complex fractional order Lorenz system as slave systems which verify the effectiveness of the tracking control strategy. Comparisons have been made with previously published literature. The application of the designed synchronisation scheme has been applied in the area of secure communication.

Keywords: chaos synchronisation; tracking control method; dislocated synchronisation; dual hybrid projective synchronisation; secure communication.

DOI: 10.1504/IJANS.2021.120116

International Journal of Applied Nonlinear Science, 2021 Vol.3 No.2, pp.89 - 118

Received: 08 Jun 2020
Accepted: 19 Apr 2021
Published online: 07 Jan 2022 *

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