3 years ago

Pattern selection in a ring of Kuramoto oscillators.

Bulcsú Sándor, Zoltán Néda, Károly Dénes

Emergence of synchronization patterns in a ring of identical and locally coupled Kuramoto-type rotators are investigated. Complexity of the dynamics increases with the system size. We show that the final stationary collective mode is predictable after a certain time-moment of the dynamics. A simple method is given for identifying this time,~$t_\mathrm{s}$. For randomly chosen initial conditions we study numerically the scaling of the average $t_\mathrm{s}$ value as a function of system size and coupling parameter between the rotators.

Publisher URL: http://arxiv.org/abs/1801.03028

DOI: arXiv:1801.03028v1

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