Title :
Conditions for the Existence of Fixed Points in a Finite System of Kuramoto Oscillators
Author :
Verwoerd, Mark ; Mason, Oliver
Author_Institution :
Nat. Univ. of Ireland, Maynooth
Abstract :
We present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled phase oscillators on a complete graph. We use these conditions to derive bounds on the critical coupling.
Keywords :
oscillators; Kuramoto oscillators; coupled phase oscillators; critical coupling bounds; Cities and towns; Control systems; Lattices; Mathematical model; Mathematics; Network topology; Oscillators; Physics; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282532
