Nonuniversal Results Induced by Diversity Distribution in Coupled Excitable Systems

被引：54

作者：

Lafuerza, Luis F. ^{[1
]}

Colet, Pere ^{[1
]}

Toral, Raul ^{[1
]}

机构：

[1] CSIC UIB, IFISC, E-07122 Palma de Mallorca, Spain

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 08期

关键词：

SYNCHRONIZATION; KURAMOTO;

D O I：

10.1103/PhysRevLett.105.084101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

共 13 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].