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Mechanism of Desynchronization in the Finite-Dimensional Kuramoto Model

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2004
APS College Park, Md.

Physical review letters 93, 084102 () [10.1103/PhysRevLett.93.084102]

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Abstract: We study how a decrease of the coupling strength causes a desynchronization in the Kuramoto model of N globally coupled phase oscillators. We show that, if the natural frequencies are distributed uniformly or close to that, the synchronized state can robustly split into any number of phase clusters with different average frequencies, even culminating in complete desynchronization. In the simplest case of N=3 phase oscillators, the course of the splitting is controlled by a Cherry flow. The general N-dimensional desynchronization mechanism is numerically illustrated for N=5.

Keyword(s): J


Note: Record converted from VDB: 12.11.2012

Contributing Institute(s):
  1. Institut für Medizin (IME)
Research Program(s):
  1. Neurowissenschaften (L01)

Appears in the scientific report 2004
Notes: This version is available at the following Publisher URL: http://prl.aps.org
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