Open Access
2014 A New Fractional-Order Chaotic Complex System and Its Antisynchronization
Cuimei Jiang, Shutang Liu, Chao Luo
Abstr. Appl. Anal. 2014(SI53): 1-12 (2014). DOI: 10.1155/2014/326354


We propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Chaotic behavior is verified with phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents. And we find that chaos exists in this system with orders less than 5 by numerical simulation. Additionally, antisynchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems. This new system and the fractional-order complex Lorenz system can achieve antisynchronization. Corresponding numerical simulations show the effectiveness and feasibility of the scheme.


Download Citation

Cuimei Jiang. Shutang Liu. Chao Luo. "A New Fractional-Order Chaotic Complex System and Its Antisynchronization." Abstr. Appl. Anal. 2014 (SI53) 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022175
MathSciNet: MR3273908
Digital Object Identifier: 10.1155/2014/326354

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
Back to Top