Synchronization in small-world networks
文献类型:期刊论文
作者 | Wu, Ye3; Shang, Yun4; Chen, Maoyin1,2; Zhou, Changsong5; Kurths, Juergen3 |
刊名 | CHAOS
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出版日期 | 2008-09-01 |
卷号 | 18期号:3页码:7 |
ISSN号 | 1054-1500 |
DOI | 10.1063/1.2939136 |
英文摘要 | 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. |
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 |
语种 | 英语 |
WOS记录号 | WOS:000260027300047 |
出版者 | AMER INST PHYSICS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6823] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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