Kloumann Isabel M, Lizarraga Ian M, Strogatz Steven H
Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jan;89(1):012904. doi: 10.1103/PhysRevE.89.012904. Epub 2014 Jan 6.
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.
我们考虑一个耦合振子的Kuramoto模型，该模型包含了范·赫门在其自旋玻璃模型中所使用的那种淬火随机相互作用。对于零噪声以及振子固有频率呈洛伦兹分布的情况，通过解析得到了相图。根据吸引耦合项和随机耦合项的大小，系统呈现出四种状态：完全非相干、部分同步、部分反相同步以及反相和普通同步的混合状态。
