A fractional-order multi-scroll hyperchaotic Chua system and its synchronization

Author

Xi, Huiling

Author_Institution

Dept. of Math., North Univ. of China, Taiyuan, China

fYear

2012

fDate

6-8 July 2012

Firstpage

1436

Lastpage

1441

Abstract

In this paper, a four-dimensional fractional-order multi-scroll hyperchaotic Chua system is proposed. By utilizing the fractional calculus theory and computer simulations, it is found that multi-scroll hyperchaotic attractor exists in this fractional-order Chua system with order less than 4. Furthermore, synchronization between two fractional-order multi-scroll hyperchaotic Chua systems is achieved by a suitable linear controller applied to the response system and the corresponding numerical simulations are performed.

Keywords

Chua´s circuit; calculus; chaos; linear systems; numerical analysis; stability; synchronisation; 4D fractional order multiscroll hyperchaotic Chua system; computer simulation; fractional calculus theory; linear controller; multiscroll hyperchaotic attractor; numerical simulation; response system; synchronization; Chaotic communication; Equations; Fractional calculus; Numerical simulation; Stability analysis; Synchronization; Chaos synchronization; Fractional-order system; Hyperchaotic system; Linear control; Multi-scroll Chua system;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358105

Filename

6358105