The Biological Application of Synchronization Ability of Different Complex Network Structures

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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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Advanced Materials Research (Volumes 846-847)

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1252-1256

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November 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Sun Wen, Synchronization of impulsively coupled complex networks, Chen Zhong, Chin. phys.B. (2012).

Google Scholar

[2] YAO Hong, XUE Jianxue. The Bifurcation Behaviors And Controller's Design for A Multidimensional Magnetic Levitation Flex-rotator Control System. [J]. 2006, 60(11): 110512/1-110512/7.

Google Scholar

[3] YANG Xiyun, YANG Guowei. Non-linear Stable Field Analysis of Aircraft Limited Amplitude Flying at High Angles of Attack[J]. Journal of Aerodynamics2012, 13(04): 91-94.

Google Scholar

[4] S Zheng. Adaptive modified function projective synchronization of unknown chaotic systems with different order [J]. Applied Mathematics and Computation. 2012, 218: 5891–5899.

DOI: 10.1016/j.amc.2011.11.034

Google Scholar

[5] Pecora L M. Synchronization of chaotic systems [J]. Physical Review Letters. 1990, 64(8): 821-824.

Google Scholar

[6] Xu W, Yang X L, Sun Z K. Full-and reduced-order synchronization of a class of time-varying systems containing uncertainties [J] . Nonlinear Dynamics, 2008, 52(1/2): 19-25.

DOI: 10.1007/s11071-007-9252-z

Google Scholar

[7] Yang Q G, Chen G R. [J]. Chaos. 2008, 18: 1393.

Google Scholar