Chaos control of integer and fractional orders of chaotic Burke–Shaw system using time delayed feedback control

摘要

Highlights?The time delayed feedback control is used to control the integer and fractional version of Burke-Shaw chaotic system.?The local stability of this system is investigated.?The existence of local Hopf bifurcations is studied.?The interval values of the time delay at which this system is stable (unstable) are calculated.?An excellent agreement is found between analytical analysis and numerical calculations.AbstractThe aim of this paper is to investigate the control of chaotic Burke-Shaw system using Pyragas method. This system is derived from Lorenz system which has several applications in physics and engineering (e.g. secure communications). The linear stability and the existence of Hopf bifurcation of this system are investigated. Based on t