title: Global synchronization in lattices of coupled chaotic systems.
abstract: Based on the concept of matrix measures, we study global stability of synchronization in networks. Our results apply to quite general connectivity topology. In addition, a rigorous lower bound on the coupling strength for global synchronization of all oscillators is also obtained. Moreover, by merely checking the structure of the vector field of the single oscillator, we shall be able to determine if the system is globally synchronized.
authors: Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan 300, Republic of China. jjuang@math.nctu.edu.tw
authors: Jonq
authors: J
authors: Juang
authors: Chin-Lung
authors: CL
authors: Li
authors: Yu-Hao
authors: YH
authors: Liang
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D008954:Models, Biological; D017711:Nonlinear Dynamics