Cluster synchronization in non-diffusively coupled networks
Zhongjun Ma, Yi Wang, Xianhua Tang, Ying Guo · 2010
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.