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.
International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.3, pp.185 - 194
Available online: 08 Sep 2017 *Full-text access for editors Access for subscribers Purchase this article Comment on this article