Synchronization is the strongest form of collective phenomena in complex systems of interacting components. In this paper, the problem of cluster projective synchronization of complex networks with fractional-order nodes based on the fractional-order differential equation stability theory is investigated. Only the nodes in one community which have direct connections to the nodes in other communities are controlled. Some sufficient synchronization conditions are derived via pinning control. Numerical simulations are provided to show the effectiveness of the theoretical results.
This paper investigates the adaptive cluster synchronization in the complex networks with different orders. By means of Lyapunov stability theory and the adaptive control technique, a novel adaptive synchronization controller is developed. To demonstrate the validity of the proposed method, the examples for the synchronization of systems with the chaotic and hyperchaotic node dynamics are presented.
Model DescriptionConsider a dynamical network with community of coupled chaotic oscillators; also the local dynamics can be Hindawi Publishing Corporation
Abstract. We propose the fractional-order complex Lu system. Based on theoretical analysis and computer simulations, rich dynamics behavior of the system is investigated in detail. First of all, symmetry and the stability of equilibrium points are discussed. In addition, bifurcations with variation of different system parameters are discussed for diverse derivative orders. Chaotic attractors are further verified dynamical behavior of the system is very abundant.
Abstract. This paper investigates projective synchronization of fractional order chaotic systems with different orders. In order to get the projective synchronization of fractional order chaotic systems with different orders, a scheme is proposed and effective controllers for synchronization are designed. Numerical simulations on examples are presented to show the effectiveness of the proposed control strategy.
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