Title: Synchronisation of the hyperchaotic complex Lorenz system in a finite time

Authors: Homayoon Arabyani; Hassan Saberi Nik

Addresses: Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran ' Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran

Abstract: In this paper, we investigate the finite-time chaos synchronisation of hyperchaotic complex Lorenz systems. The sufficient conditions for achieving the finite-time synchronisation of two chaotic systems are derived based on the theory of finite-time stability of dynamical systems. In fact, we propose a simple adaptive control method for realising chaos synchronisation in a finite time. It is shown that the technique introduced here can be further applied to various finite-time synchronisations between dynamical systems. Simulation results show the effectiveness of the proposed method.

Keywords: hyperchaotic complex Lorenz system; finite time synchronisation; adaptive control; feedback control; chaos synchronisation; simulation.

DOI: 10.1504/IJMIC.2016.075273

International Journal of Modelling, Identification and Control, 2016 Vol.25 No.2, pp.138 - 144

Available online: 09 Mar 2016 *

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