Contraction of monotone phase-coupled oscillators
arXiv:1205.3826 · doi:10.1016/j.sysconle.2012.08.007
Abstract
This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.
10 pages