IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos, CSIC-UIB, Campus UIB, E-07122 Palma de Mallorca, Spain.
Phys Rev Lett. 2010 Aug 20;105(8):084101. doi: 10.1103/PhysRevLett.105.084101.
We consider a system of globally coupled active rotators near the excitable regime. The system displays a transition to a state of collective firing induced by disorder. We show that this transition is found generically for any diversity distribution with well-defined moments. Singularly, for the Lorentzian distribution (widely used in Kuramoto-like systems) the transition is not present. This warns about the use of Lorentzian distributions to understand the generic properties of coupled oscillators.
我们考虑了一个处于兴奋状态的全局耦合活性转子系统。该系统显示出通过无序向集体点火状态的转变。我们表明，对于任何具有明确定义矩的多样性分布，这种转变都是普遍存在的。奇异的是，对于洛伦兹分布（在类似于 Kuramoto 的系统中广泛使用），这种转变不存在。这警告人们不要使用洛伦兹分布来理解耦合振荡器的一般性质。
