Synchronization in small-world networks

Ye Wu; Yun Shang; Maoyin Chen; Changsong ZHOU; Jürgen Kurths

doi:10.1063/1.2939136

Synchronization in small-world networks

Ye Wu, Yun Shang, Maoyin Chen^*, Changsong ZHOU, Jürgen Kurths

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

In this paper we consider complete synchronization in small-world networks of identical Rössler oscillators. By applying a simple but effective dynamical optimization coupling scheme, we realize complete synchronization in networks with undelayed or delayed couplings, as well as ensuring that all oscillators have uniform intensities during the transition to synchronization. Further, we obtain the coupling matrix with much better synchronizability in a certain range of the probability p for adding long-range connections. Direct numerical simulations fully verify the efficiency of our mechanism.

Original language	English
Article number	037111
Journal	Chaos
Volume	18
Issue number	3
DOIs	https://doi.org/10.1063/1.2939136
Publication status	Published - 2008

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)
Applied Mathematics

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10.1063/1.2939136

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title = "Synchronization in small-world networks",

abstract = "In this paper we consider complete synchronization in small-world networks of identical R{\"o}ssler oscillators. By applying a simple but effective dynamical optimization coupling scheme, we realize complete synchronization in networks with undelayed or delayed couplings, as well as ensuring that all oscillators have uniform intensities during the transition to synchronization. Further, we obtain the coupling matrix with much better synchronizability in a certain range of the probability p for adding long-range connections. Direct numerical simulations fully verify the efficiency of our mechanism.",

author = "Ye Wu and Yun Shang and Maoyin Chen and Changsong ZHOU and J{\"u}rgen Kurths",

note = "Funding Information: Y.S. was supported by NSFC under Grant No. 60603002. M.C. was supported by the Alexander von Humboldt Foundation and Special Doctoral Fund at the University by the Ministry of Education under Grant No. 20070003129. J.K. was supported by SFB 555 (DFG) and BRACCIA (EU). ",

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AU - Wu, Ye

AU - Shang, Yun

AU - Chen, Maoyin

AU - ZHOU, Changsong

AU - Kurths, Jürgen

N1 - Funding Information: Y.S. was supported by NSFC under Grant No. 60603002. M.C. was supported by the Alexander von Humboldt Foundation and Special Doctoral Fund at the University by the Ministry of Education under Grant No. 20070003129. J.K. was supported by SFB 555 (DFG) and BRACCIA (EU).

PY - 2008

Y1 - 2008

N2 - In this paper we consider complete synchronization in small-world networks of identical Rössler oscillators. By applying a simple but effective dynamical optimization coupling scheme, we realize complete synchronization in networks with undelayed or delayed couplings, as well as ensuring that all oscillators have uniform intensities during the transition to synchronization. Further, we obtain the coupling matrix with much better synchronizability in a certain range of the probability p for adding long-range connections. Direct numerical simulations fully verify the efficiency of our mechanism.

AB - In this paper we consider complete synchronization in small-world networks of identical Rössler oscillators. By applying a simple but effective dynamical optimization coupling scheme, we realize complete synchronization in networks with undelayed or delayed couplings, as well as ensuring that all oscillators have uniform intensities during the transition to synchronization. Further, we obtain the coupling matrix with much better synchronizability in a certain range of the probability p for adding long-range connections. Direct numerical simulations fully verify the efficiency of our mechanism.

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SN - 1054-1500

VL - 18

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Synchronization in small-world networks

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