A new mixed-order chaotic system and its synchronization control

Author

Min Fu-hong ; Shao Shu-yi ; Li Deng-hui ; Wang Si-cong

Author_Institution

Sch. of Electr. & Autom. Eng., Nanjing Normal Univ., Nanjing, China

fYear

2014

fDate

28-30 July 2014

Firstpage

1915

Lastpage

1919

Abstract

In this paper, a novel four-dimensional mixed-order chaotic system is proposed and numerical simulations are first carried out through bifurcation diagrams and Lyapunov exponent spectrum. Based on the fractional-order approximate transfer function, the mixed-order chaotic circuit is designed, and the results of the circuit implementation are given. The existence and physical realizability of the new four-dimensional mixed-order chaotic system are proved. Finally, the active control method is used for synchronization of two same mixed-order systems. Numerical simulation results show that the active control method is easy to implement and reliable for synchronizing the two nonlinear fractional-order chaotic systems.

Keywords

Lyapunov methods; bifurcation; chaos; control system synthesis; multidimensional systems; nonlinear control systems; synchronisation; transfer functions; 4D mixed-order chaotic system; Lyapunov exponent spectrum; active control method; bifurcation diagrams; circuit implementation; fractal order; fractional-order approximate transfer function; integral order; mixed-order chaotic circuit design; nonlinear fractional-order chaotic system; numerical simulation; physical realizability; synchronization control; Approximation methods; Bifurcation; Chaotic communication; Equivalent circuits; Numerical simulation; Synchronization; Circuit simulation; Dynamic behaviors; Fractional-order chaotic system; Synchronization control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6896922

Filename

6896922