Bifurcations and global stability of synchronized stationary states in the Kuramoto model for oscillator populations

被引：24

作者：

Acebrón, J.A. ^{[1
]}

Perales, A. ^{[1
]}

Spigler, R. ^{[1
]}

机构：

[1] Department of Physics, University of California, San Diego, La Jolla, CA 92093, United States

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 64卷 / 1 II期

关键词：

Asymptotic stability - Bifurcation (mathematics) - Computer simulation - Fourier transforms - Josephson junction devices - Mathematical models - Natural frequencies - Neural networks - Ordinary differential equations - Partial differential equations - Probability density function - Probability distributions;

D O I：

10.1103/PhysRevE.64.016218

中图分类号：

学科分类号：

摘要：

The existence of a bistable behavior between (partially) synchronized stationary states, occurring in large populations of nonlinearly coupled random oscillators, was studied. This was done in the framework of the so-called Kuramot model. A central peak in the natural frequency distribution allowed for the existence of bistability between stationary solutions.

引用

页码：1 / 016218