Comparison of Synchronizing Speed Limitations of Networked Lorenz Oscillators when Coupling Strength Tends to Infinity

Ge Qun Liu; Xiao Ming Xu

doi:10.4028/www.scientific.net/AMM.128-129.553

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 128-129Comparison of Synchronizing Speed Limitations of...

Comparison of Synchronizing Speed Limitations of Networked Lorenz Oscillators when Coupling Strength Tends to Infinity

Abstract:

Limitation of synchronizing speed is a key feature for finite time synchronization of complex networks. We studied such limitations as coupling strength tends to infinity for networks with Lorenz oscillator as nodes under conditions that nodes were coupled in different ways. It was found that if nodes are coupled by only one state variable, coupling by second variable has the highest synchronizing speed. If nodes are coupled by two state variables, coupling by second and third variables has the highest synchronizing speed. If nodes are coupled by all three variables, the limitation of synchronizing speed will approach infinity.

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Periodical:

Applied Mechanics and Materials (Volumes 128-129)

Pages:

553-556

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.128-129.553

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Online since:

October 2011

Authors:

Ge Qun Liu, Xiao Ming Xu

Keywords:

Chaos, Complex Network, Inner Coupling Matrix, Lorenz Oscillators, Synchronization

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References

[1] S. Boccaletti, V. Latora, Y. Moreno, et al: Physics Reports Vol. 424 (2006), pp.175-308.

Google Scholar

[2] L. Guo, X.M. Xu: Complex networks (Shanghai Scientific & Technological Education Publishing House, Shanghai 2006).

Google Scholar

[3] A. Arenas, A.D. Guilera, J. Kurths, et al: Physics Reports Vol. 469 (2008), p.93.

Google Scholar

[4] G.R. Chen, X.F. Wang, X. Li, et al, in: Recent Advances in Nonlinear Dynamics and Synchronization, edtied by K. Kyamakya, Springer-Verlag, Berlin Heidelberg (2009).

Google Scholar

[5] X. Yang, J. Cao: Applied Mathematical Modelling Vol. 34 (2010), p.3631.

Google Scholar

[6] Q. Hui, W.M. Haddad, S.P. Bhat: IEEE Transactions on Automatic Control Vol. 53 (2008), p.1887.

Google Scholar

[7] L. Wang, F. Xiao: IEEE Transactions on Automatic Control Vol. 55 (2010), p.950.

Google Scholar

[8] E.N. Lorenz: Journal of the Atmospheric Siences Vol. 20 (1963), p.130.

Google Scholar

[9] Y. Chen, G. Rangarajan, M. Ding: Physical Review E Vol. 67 (2003), p.026209.

Google Scholar

[10] D.J. Watts, S.H. Strogatz: Nature Vol. 393 (1998), p.440.

Google Scholar