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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 326354, 12 pages
Research Article

A New Fractional-Order Chaotic Complex System and Its Antisynchronization

1College of Control Science and Engineering, Shandong University, Jinan 250061, China
2School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China
3Shandong Provincial Key Laboratory for Novel Distributed Computer Software Technology, Jinan 250014, China

Received 28 March 2014; Revised 28 July 2014; Accepted 28 August 2014; Published 20 October 2014

Academic Editor: Felix Sadyrbaev

Copyright © 2014 Cuimei Jiang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.