Journal
PHYSICAL REVIEW E
Volume 89, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.89.012904
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Funding
- NSF Graduate Research Fellowship
- NSF [1006272]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1006272] Funding Source: National Science Foundation
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We consider a Kuramoto model of coupled oscillators that includes quenched random interactions of the type used by van Hemmen in his model of spin glasses. The phase diagram is obtained analytically for the case of zero noise and a Lorentzian distribution of the oscillators' natural frequencies. Depending on the size of the attractive and random coupling terms, the system displays four states: complete incoherence, partial synchronization, partial antiphase synchronization, and a mix of antiphase and ordinary synchronization.
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