DocumentCode
3423284
Title
Cluster synchronization in non-diffusively coupled networks
Author
Ma, Zhongjun ; Wang, Yi ; Tang, Xianhua ; Guo, Ying
Author_Institution
Sch. of Math. Sci. & Comput. Technol., Central South Univ., Changsha, China
fYear
2010
fDate
22-24 Oct. 2010
Firstpage
363
Lastpage
366
Abstract
Using Lyapunov function approach, some sufficient conditions about the existence and global asymptotic stability of a cluster synchronization invariant-manifold in a non-diffusively coupled network are derived. The effectiveness of the sufficient conditions is illustrated by an example. In addition, the example also shows that cluster number can vary as coupling strength varies.
Keywords
Lyapunov methods; asymptotic stability; circuit stability; complex networks; coupled circuits; oscillators; synchronisation; Lyapunov function; cluster number; cluster synchronization invariant-manifold; complex network; global asymptotic stability; nondiffusively coupled network; oscillator; Couplings; Linear matrix inequalities; cluster synchronization; complex network; emergence; non-diffusive coupling;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Computing and Integrated Systems (ICISS), 2010 International Conference on
Conference_Location
Guilin
Print_ISBN
978-1-4244-6834-8
Type
conf
DOI
10.1109/ICISS.2010.5656927
Filename
5656927
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