4.6 Article

Chaos control and synchronization of fractional order delay-varying computer virus propagation model

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 39, Issue 5, Pages 1197-1205

Publisher

WILEY
DOI: 10.1002/mma.3565

Keywords

delay-varying computer virus propagation model; fractional derivative; chaos control; synchronization; feedback control; active control

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In the present article, the authors have studied the dynamical behavior of delay-varying computer virus propagation (CVP) model with fractional order derivative, and it is found that the chaotic attractor exists in the considered fractional order system. In order to eliminate the chaotic behavior of fractional order delay-varying CVP model, feedback controlmethod is used. This article also dealswith the synchronization between controlled and chaotic delay-varying CVPmodel via active controlmethod. The fractional derivative is described in the Caputo sense. Numerical simulation results are carried out by means of Adams-Boshforth-Moultonmethod with the help ofMATLAB, and the results are successfully depicted through graphs .Copyright (c) 2015 John Wiley & Sons, Ltd.

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