Coupling Effects on Synchronizability of Two-Layer Network's Projective Outer Synchronization

Bo Yu Feng, Zhi Hao Zhang · Applied Mechanics and Materials · 2017

Based on nonlinear dynamics theory and knowledge of complex network, this paper expanded the range of two-layer network synchronization to projective outers synchronization. A mathematical model was constructed and feasibility of synchronization was demonstrated. Then we improved the model in order to study the function of different couplings [1]. Numerical examples are examined to compare the synchronizability of projective outer synchronization with different couplings. A rule called "outer small-world effect" was found due to simulation experiment. Finally, some instances were used to explain experimental results.

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