Explosive synchronization of complex networks with different chaotic oscillators

doi:10.1088/1674-1056/22/6/060506

中国物理B ›› 2013, Vol. 22 ›› Issue (6): 60506-060506.doi: 10.1088/1674-1056/22/6/060506

Explosive synchronization of complex networks with different chaotic oscillators

赵军产

College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, China

收稿日期:2012-08-16 修回日期:2012-11-28 出版日期:2013-05-01 发布日期:2013-05-01
基金资助:
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).

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

Received:2012-08-16 Revised:2012-11-28 Online:2013-05-01 Published:2013-05-01
Contact: Zhao Jun-Chan E-mail:junchanzhao@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: complex network, explosive synchronization transition, chaotic oscillator

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.

Key words: complex network, explosive synchronization transition, chaotic oscillator

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

赵军产. Explosive synchronization of complex networks with different chaotic oscillators[J]. 中国物理B, 2013, 22(6): 60506-060506.

Zhao Jun-Chan (赵军产). Explosive synchronization of complex networks with different chaotic oscillators[J]. Chin. Phys. B, 2013, 22(6): 60506-060506.

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Explosive synchronization of complex networks with different chaotic oscillators

Explosive synchronization of complex networks with different chaotic oscillators

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