Full State Hybrid Projective Synchronization in a Volume-Conserving System

Author

Liu Xiao-jun ; Li Xian-feng ; He Wan-sheng ; Wang San-Fu

Author_Institution

Sch. of Math. & Stat., Tianshui Normal Coll., Tianshui, China

Volume

7

fYear

2009

fDate

March 31 2009-April 2 2009

Firstpage

62

Lastpage

65

Abstract

The full state hybrid projective synchronization, which includes complete synchronization, anti-synchronization and projective synchronization as its special item, is a novel type of chaos synchronization. In the paper, the application of the full state hybrid projective synchronization (FSHPS) to a special three-dimensional chaotic flow is investigated and validated further. Based on the Lyapunov´s direct method, the general FSHPS scheme is given and illustrated with a simple volume-conserving system with Lyapunov dimension D_KY = 3. Numerical simulations are used to verify the effectiveness of the proposed scheme.

Keywords

Lyapunov methods; chaos; matrix algebra; nonlinear control systems; nonlinear dynamical systems; synchronisation; Lyapunov direct method; antisynchronization; chaos synchronization; complete synchronization; full state hybrid projective synchronization; matrix algebra; nonlinear control system; nonlinear dynamical system; three-dimensional chaotic flow; volume-conserving system; Chaos; Chaotic communication; Computer science; Drives; Fractals; Helium; Mathematics; Nonlinear equations; Numerical simulation; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Engineering, 2009 WRI World Congress on

Conference_Location

Los Angeles, CA

Print_ISBN

978-0-7695-3507-4

Type

conf

DOI

10.1109/CSIE.2009.389

Filename

5170281