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.
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页码：1 / 016218
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