Abstract and Applied Analysis

A New Fractional-Order Chaotic Complex System and Its Antisynchronization

Cuimei Jiang, Shutang Liu, and Chao Luo

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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.

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Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 326354, 12 pages.

First available in Project Euclid: 27 February 2015

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Jiang, Cuimei; Liu, Shutang; Luo, Chao. A New Fractional-Order Chaotic Complex System and Its Antisynchronization. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 326354, 12 pages. doi:10.1155/2014/326354. https://projecteuclid.org/euclid.aaa/1425049068

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