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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.

 Autoría: Montbrió E., Pazó D.,

 Fuente: Physical Review Letters, 2011, 106, 254101

 Editorial: American Physical Society

 Año de publicación: 2011

 Nº de páginas: 4

 Tipo de publicación: Artículo de Revista

 DOI: 10.1103/PhysRevLett.106.254101

 ISSN: 0031-9007,1079-7114

 Proyecto español: FIS2009-12964-C05-05

 Url de la publicación: https://doi.org/10.1103/PhysRevLett.106.254101