title: Erosion of synchronization in networks of coupled oscillators.
abstract: We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady state, even in the limit of infinite coupling. An analysis reveals that the total erosion is separable into the product of terms characterizing coupling frustration and structural heterogeneity, both of which amplify erosion. The latter, however, can differ significantly from degree heterogeneity. Finally, we show that erosion is marked by the reorganization of oscillators according to their node degrees rather than their natural frequencies.
authors: Departament d'Enginyeria Informatica i Matemátiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
authors: Per Sebastian
authors: PS
authors: Skardal
authors: Statistical and Applied Mathematical Sciences Institute, Research Triangle Park, North Carolina 27709, USA and Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599, USA.
authors: Dane
authors: D
authors: Taylor
authors: Department of Mathematics, Clarkson University, Potsdam, New York, 13699, USA.
authors: Jie
authors: J
authors: Sun
authors: Departament d'Enginyeria Informatica i Matemátiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
authors: Alex
authors: A
authors: Arenas