@article{10902/27204,
year = {2011},
url = {https://hdl.handle.net/10902/27204},
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.},
organization = {We thank A. Ledberg, J. M. López, and M. A. Matías for
their critical reading of our manuscript. D. P. acknowledges
support by CSIC under the JAE-Doc Programme, and from
the MICINN Project No. FIS2009-12964-C05-05.},
publisher = {American Physical Society},
publisher = {Physical Review Letters, 2011, 106, 254101},
title = {Shear diversity prevents collective synchronization},
author = {Montbrió, Ernest and Pazó Bueno, Diego Santiago},
}