| Original Articles |
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Global Synchronization of General Delayed Dynamical Networks |
| LI Zhi |
| Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433Department of Automatic Control Engineering, Xidian University, PO Box 136, Xi'an 710071 |
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| Cite this article: |
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LI Zhi 2007 Chin. Phys. Lett. 24 1869-1872 |
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Abstract Global synchronization of general delayed dynamical networks with linear
coupling are investigated. A sufficient condition for the global synchronization is obtained by using the linear matrix inequality and introducing a reference state. This condition is simply given based on the maximum nonzero eigenvalue of the network coupling matrix. Moreover, we show how to construct the coupling matrix to guarantee global synchronization of network, which is very convenient to use. A two-dimension system with delay as a dynamical node in network with global coupling is finally presented to verify the theoretical results of the proposed global synchronization scheme.
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| Keywords:
25.70.Gh
05.10.-a
05.45.Xt
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Received: 04 November 2006
Published: 25 June 2007
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| PACS: |
25.70.Gh
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(Compound nucleus)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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05.45.Xt
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(Synchronization; coupled oscillators)
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[1] Zhou T and Wang B H 2005 Chin. Phys. Lett. 22 1072
[2] Yang J Z and Zhang M 2005 Chin. Phys. Lett. 22 2183
[3] Wang Q Y and Lu Q S 2005 Chin. Phys. Lett. 22 1329
[4] Wang X. and Chen G 2002 Int. J. Bifur. Chaos 12 187
[5] Wang X and Chen G 2002 IEEE Trans. Circuits Syst. I 49 54
[6] Grade P M and Hu C K 2000 Phys. Rev. E 62 6409
[7] Hong H, Choi M Y and Kim B J 2002 Phys. Rev. E 65 026139
[8] Barahona M and Pecora L M 2002 Phys. Rev. Lett. C 89 054101
[9] Cao J, Li P and Wang W 2006 Phys. Lett. A 353 318
[10] Cao J and Lu J 2006 Chaos 013133
[11] Lu W and Chen T 2004 IEEE Trans. Circuits Syst. I$\!$I 51 2491
[12] Chen G, Zhou J and Liu Z 2004 Int. J. Bifur. Chaos 14 2229
[13] Li Z and Chen G 2006 IEEE Trans. Circuits Syst. I$\!$I 53 28
[14] Lu W and Chen T 2006 Physica D 213 214 |
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