Integrable order parameter dynamics of globally coupled oscillators

被引：1
|
作者：
Pritula, G. M. [1 ]
Prytula, V. I. [1 ]
Usatenko, O. V. [1 ]
机构：
[1] Natl Acad Sci Ukraine, O Ya Usikov Inst Radiophys & Elect, 12 Proskura St, UA-61085 Kharkov, Ukraine
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2016年 / 49卷 / 06期
关键词：
coupled oscillators; synchronization; exact solutions; MICROSCOPIC DISORDER;
D O I：
10.1088/1751-8113/49/6/065101
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the nonlinear dynamics of globally coupled nonidentical oscillators in the framework of two order parameter (mean field and amplitude-frequency correlator) reduction. The main result of the paper is the exact solution of a corresponding nonlinear system on a two-dimensional invariant manifold. We present a complete classification of phase portraits and bifurcations, obtain explicit expressions for invariant manifolds (a limit cycle among them) and derive analytical solutions for arbitrary initial data and different regimes.
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页数：11
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