title: Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays
abstract: We show that the stability surface that governs the synchronization of a large class of arrays of identical oscillators can be probed with a simple array of just three identical oscillators. Experimentally this implies that it may be possible to probe the synchronization conditions of many arrays all at the same time. In the process of developing a theory of the three-oscillator probe, we also show that several regimes of asymptotic coupling can be derived for the array classes, including the case of large imaginary coupling, which apparently has not been explored.
authors.affiliation: Columbia University, New York, New York 10027, USA.
authors.initials: KS
authors.lastname: Fink
authors.initials: G
authors.lastname: Johnson
authors.initials: T
authors.lastname: Carroll
authors.initials: D
authors.lastname: Mar
authors.initials: L
authors.lastname: Pecora