Title: The application of feedback control method in chaotic Rössler model

Authors: Changjin Xu; Peiluan Li

Addresses: Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, P. R. China ' School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, P. R. China

Abstract: This paper is devoted to investigate the problem of controlling chaos in a Rössler system. Feedback control method is applied to suppress chaos to unstable equilibrium or unstable periodic orbits. Routh-Hurwitz criteria are used to analyse the conditions of the asymptotic stability of the steady states of the controlled system. Some numerical simulations are provided to show these results. Finally, main conclusions are included.

Keywords: chaos; Hopf bifurcation; Rössler system; stability.

DOI: 10.1504/IJDSDE.2017.086655

International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.3, pp.185 - 194

Received: 16 Jul 2016
Accepted: 28 Oct 2016
Published online: 18 Sep 2017 *

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