Global synchronization in lattices of coupled chaotic systems.
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.
Juang
Jonq
J
Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan 300, Republic of China. jjuang@math.nctu.edu.tw
Li
Chin-Lung
CL
Liang
Yu-Hao
YH
D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D008954:Models, Biological; D017711:Nonlinear Dynamics