A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos-Reference-Cited by-同舟云学术

A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos

Published:2017 Issue: Volume:2017 Page:1-5
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Shen Shiyun¹,Ke Meihua²,Zhou Ping¹²^ORCID

Affiliation:

1. Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

2. Key Laboratory of Network Control and Intelligent Instrument, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Abstract

One 3D fractional-order chaotic system with only one locally asymptotically stable equilibrium is reported. To verify the chaoticity, the maximum Lyapunov exponent (MAXLE) with respect to the fractional-order and chaotic attractors are obtained by numerical calculation for this system. Furthermore, by linear scalar controller consisting of a single state variable, one control scheme for stabilization of the 3D fractional-order chaotic system is suggested. The numerical simulations show the feasibility of the control scheme.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2017/8434765.pdf

Reference25 articles.

1. New results on stability and stabilization of a class of nonlinear fractional-order systems

2. Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

3. Stabilization of the unstable equilibrium points of the fractional-order BLDCM chaotic system in the sense of Lyapunov by a single-state variable