Guo-Jun Qi, Charu Aggarwal, et al.
IEEE TPAMI
We study synchronization in an array of coupled identical nonlinear dynamical systems where the coupling topology is expressed as a directed graph and give synchronization criteria related to properties of a generalized Laplacian matrix of the directed graph. In particular, we extend recent results by showing that the array synchronizes for sufficiently large cooperative coupling if the underlying graph contains a spanning directed tree. This is an intuitive yet nontrivial result that can be paraphrased as follows: if there exists a dynamical system which influences directly or indirectly all other systems, then synchronization is possible for strong enough coupling. The converse is also true in general. © 2005 IOP Publishing Ltd and London Mathematical Society.
Guo-Jun Qi, Charu Aggarwal, et al.
IEEE TPAMI
Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989
Frank R. Libsch, Takatoshi Tsujimura
Active Matrix Liquid Crystal Displays Technology and Applications 1997