Anti-synchronization of Fractional-Order Chaotic Complex Systems

Chaotic behavior and synchronization of fractional-order dynamical systems have been extensively studied over the last decade [203–211]. In this chapter, we propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Secondly, anti-synchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems. Additionally, we investigate adaptive control for anti-synchronization of a class of uncertain fractional-order chaotic complex systems described by a unified mathematical expression.