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.

引用

页数：11

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