Synchronization in small-world networks

doi:10.1063/1.2939136

CSpace

	Synchronization in small-world networks
	Wu, Ye 3; Shang, Yun 4; Chen, Maoyin 1,2; Zhou, Changsong 5; Kurths, Juergen 3
	2008-09-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	18 期号:3 页码:7
摘要	In the past decade, synchronization in complex networks, especially the question of synchronizability, attracts a lot of interest. The works on synchronizability in networks with a given topology can be divided into two classes according to the coupling matrix in networks. One is the static mechanism, where the coupling matrix remains fixed during the transition to synchronization. From the degree and load based weighted networks, the synchronizability becomes optimal when the intensities of all oscillators become uniform. The other one is the dynamical mechanism, where the coupling matrix evolves in time by introducing adaptive strengths between connected oscillators. The adaption process can enhance synchronization by modifying the coupling matrix in networks, but the synchronizability is still far from being optimal. This is because the resulting networks have nonuniform intensities even for networks with homogeneous degrees. In this paper we consider complete synchronization in smallworld networks of identical Rossler 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 ensure that all oscillators have uniform intensities during the transition to synchronization. Moreover, we obtain the coupling matrix with much better synchronizability in a certain range of the probability p for adding longrange connections.
DOI	10.1063/1.2939136
语种	英语
资助项目	NSFC[60603002] ; Alexander von Humboldt Foundation ; University by the Ministry of Education[20070003129] ; (DFG) and BRACCIA (EU)[SFB 555]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000260027300047
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6824
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Maoyin
作者单位	1.Tsinghua Natl Lab Informat Sci & Technol, Beijing 100084, Peoples R China 2.Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China 3.Univ Potsdam, Ctr Dynam Complex Syst, D-14469 Potsdam, Germany 4.Acad Sinica, Math Inst, AMSS, Beijing 100080, Peoples R China 5.Hong Kong Baptist Univ, Dept Phys, Kowloon Tong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Wu, Ye,Shang, Yun,Chen, Maoyin,et al. Synchronization in small-world networks[J]. CHAOS,2008,18(3):7.
APA	Wu, Ye,Shang, Yun,Chen, Maoyin,Zhou, Changsong,&Kurths, Juergen.(2008).Synchronization in small-world networks.CHAOS,18(3),7.
MLA	Wu, Ye,et al."Synchronization in small-world networks".CHAOS 18.3(2008):7.