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Explosive synchronization of complex networks with different chaotic oscillators |
Zhao Jun-Chan (赵军产) |
College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, China |
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Abstract Recent studies have shown that explosive synchronization transitions can be observed in networks of phase oscillators [Watts D J and Strogatz S H 1998 Nature 391 440] and chaotic oscillators [Newman M E J and Watts D J 1999 Phys. Lett. A 263 341]. Here, we study the effect of different chaotic dynamics on the synchronization transitions in small world networks and scale free networks. The continuous transition is discovered for Rössler systems in both of the above complex networks. However, explosive transitions take place for the coupled Lorenz systems, and the main reason is the abrupt change of dynamics before achieving complete synchronization. Our results show that the explosive synchronization transitions are accompanied by the change of system dynamics.
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Received: 16 August 2012
Revised: 28 November 2012
Accepted manuscript online:
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61203159, 61164020, 11271295, and 11071280) and the Foundation of Wuhan Textile University (Grant No. 113073). |
Corresponding Authors:
Zhao Jun-Chan
E-mail: junchanzhao@163.com
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Cite this article:
Zhao Jun-Chan (赵军产) Explosive synchronization of complex networks with different chaotic oscillators 2013 Chin. Phys. B 22 060506
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[1] |
Watts D J and Strogatz S H 1998 Nature 393 440
|
[2] |
Newman M E J and Watts D J 1999 Phys. Lett. A 263 341
|
[3] |
Barabasi A L and Albert R 1999 Science 286 509
|
[4] |
Pecora L M and Carroll T L 1998 Phys. Rev. Lett. 80 2109
|
[5] |
Kocarev L and Amato P 2005 Chaos 15 024101
|
[6] |
Li X and Chen G 2003 IEEE Trans. Circ. Syst. I 50 1381
|
[7] |
Wang X and Chen G 2002 Int. J. Bifur. Chaos 12 187
|
[8] |
Lü J and Chen G 2005 IEEE Trans. Autom. Control 50 841
|
[9] |
Zhang Y W, Bu S L and Wang B H 2006 Chin. Phys. Lett. 23 2909
|
[10] |
Ma Z, Liu Z and Zhang G 2006 Chaos 16 023103
|
[11] |
Zhou J and Chen T 2006 IEEE Trans. Circuits Syst. I 53 733
|
[12] |
Zhou J, Lu J and Lü J 2008 Automatica 44 996
|
[13] |
Yu W, Chen G and Lü J 2009 Automatica 45 429
|
[14] |
Zhang Q J and Zhao J C 2012 Chin. Phys. B 21 040502
|
[15] |
Sun W, Chen Z and Chen S 2012 Chin. Phys. B 21 050509
|
[16] |
Achlioptas D, D'Souza R M and Spencer J 2009 Science 323 1453
|
[17] |
Radicchi F and Fortunato S 2009 Phys. Rev. Lett. 103 168701
|
[18] |
Cho Y S, Kim J S, Park J, Kahng B and Kim D 2009 Phys. Rev. Lett. 103 135702
|
[19] |
Gómez-Gardeñes J, Gómez S, Arenas A and Moreno Y 2011 Phys. Rev. Lett. 106 128701
|
[20] |
Leyva I, Sevilla-Escoboza R, Buldń J M, Sendiña-Nadal I, Gómez-Gardeñes J, Arenas A, Moreno Y, Gómez S, Jaimes-Reátegui R and Boccaletti S 2012 Phys. Rev. Lett. 108 168702
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