The chaotic characteristic and control of chaotic synchronization of nonlinear dynamic model of fractional-order

Author

Dong, Jun ; Zhang, Guang-jun ; Yao, Hong ; Wang, Xiang-bo ; Wang, Jue

Author_Institution

Coll. of Sci., Air Force Eng. Univ., Xi´´an, China

fYear

2012

fDate

29-31 May 2012

Firstpage

962

Lastpage

966

Abstract

In this paper, for a three dimensions autonomous continuous nonlinear dynamical system, the chaotic characteristic and control of chaotic synchronization of model of fractional-order are researched by the theory of fractional-order calculus. The results show that the lowest order of which chaos can occur is 0.855 in this nonlinear dynamic model of fractional-order. Based on the theory of stability of the fractional-order dynamical system, the controller is designed, the control of chaotic synchronization of nonlinear dynamic model of fractional-order is implement and the chaotic synchronization is proved analytically. Finally, the validity of nonlinear controller designed in this paper is verified by numerical simulation using Adams-Bashforth-Moulton arithmetic.

Keywords

arithmetic; control system synthesis; nonlinear control systems; nonlinear dynamical systems; numerical analysis; stability; synchronisation; Adams-Bashforth-Moulton arithmetic; chaotic characteristic; chaotic synchronization control; controller design; fractional-order calculus; fractional-order dynamical system; nonlinear controller; nonlinear dynamic model; numerical simulation; stability theory; three dimensions autonomous continuous nonlinear dynamical system; Chaotic communication; Differential equations; Mathematical model; Nonlinear dynamical systems; Numerical models; Synchronization; chaos; fractional-order system; nonlinear control; projective chaotic synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation (ICNC), 2012 Eighth International Conference on

Conference_Location

Chongqing

ISSN

2157-9555

Print_ISBN

978-1-4577-2130-4

Type

conf

DOI

10.1109/ICNC.2012.6234581

Filename

6234581