2013•Advanced materials researchOpen access

The Biological Application of Synchronization Ability of Different Complex Network Structures

Zhi Hao Zhang, Yao Hong, Bo Yu Feng, Xing Zhao Peng, Chao Ding

Abstract

This paper aimed at the chaotic synchronization ability of complex networks with different structures whose nodes have different orders. Problems of complex network synchronization and biological application are introduced firstly. And then, we studied synchronization with different orders and different network structures. Based on Lyapunov stability theory, the coupling function of the connecting nodes synchronization is identified. Numerical simulation results were used to compare the synchronization ability of three kinds of network structures. So, certain biological phenomena of complex network can be explained due to our research.

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Key concepts: Synchronization (alternating current), Complex network, Synchronization of chaos, Synchronization networks, Lyapunov stability, Chaotic, Stability (learning theory), Computer science