Adaptive Pinning Synchronization of A General Complex Dynamical Network

— This paper further investigates and answers two fundamental questions in the complex dynamical networks: i) how many nodes should a general complex dynamical network with fixed network structure and coupling strength be pinned to reach network synchronization? ii) how much coupling strength should a general complex dynamical network with fixed network structure and pinning nodes be employed to reach network synchronization? In the above framework, the coupling-configuration matrix and the inner-coupling matrix are not necessarily symmetric. Also, the pinning nodes can be randomly selected. Furthermore, our adaptive pinning controllers are rather simple compared with some traditional controllers. Finally, a BA network example is then given to show the effectiveness of the proposed synchronization criteria.

• Type: Conference
• Year: 2007
• Where: ISCAS
• Authors: Jin Zhou, Junan Lu, Jinhu Lu
• Keywords: Complex Dynamical Network, ISCAS 2007, Network Synchronization, Pinning Nodes