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
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;
Conference_Titel :
Intelligent Computing and Integrated Systems (ICISS), 2010 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-6834-8
DOI :
10.1109/ICISS.2010.5656927
