Naga Ayachitula, Melissa Buco, et al.
SCC 2007
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.
Naga Ayachitula, Melissa Buco, et al.
SCC 2007
Kenneth L. Clarkson, K. Georg Hampel, et al.
VTC Spring 2007
Peter Wendt
Electronic Imaging: Advanced Devices and Systems 1990
A. Gupta, R. Gross, et al.
SPIE Advances in Semiconductors and Superconductors 1990