title: Shear diversity prevents collective synchronization.
abstract: Large ensembles of heterogeneous oscillators often exhibit collective synchronization as a result of mutual interactions. If the oscillators have distributed natural frequencies and common shear (or nonisochronicity), the transition from incoherence to collective synchronization is known to occur at large enough values of the coupling strength. However, here we demonstrate that shear diversity cannot be counterbalanced by diffusive coupling leading to synchronization. We present the first analytical results for the Kuramoto model with distributed shear and show that the onset of collective synchronization is impossible if the width of the shear distribution exceeds a precise threshold.
authors.affiliation: Department of Information and Communication Technologies, Universitat Pompeu Fabra, 08018 Barcelona, Spain.
authors.forename: Ernest
authors.initials: E
authors.lastname: Montbrió
authors.forename: Diego
authors.initials: D
authors.lastname: Pazó
mesh_terms: D009991:Oscillometry; D044367:Phase Transition; D013314:Stress, Mechanical