About Landau-Hopf scenario in a system of coupled self-oscillators

被引：37
|
作者：
Kuznetsov, Alexander P. [1 ]
Kuznetsov, Sergey P. [1 ]
Sataev, Igor R. [1 ]
Turnkina, Ludmila V. [1 ]
机构：
[1] RAS, Kotelnikov Inst Radioengn & Elect, Saratov Branch, Saratov 410019, Russia
来源：
PHYSICS LETTERS A | 2013年 / 377卷 / 45-48期
关键词：
D O I：
10.1016/j.physleta.2013.10.013
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The conditions are discussed for which an ensemble of interacting oscillators may demonstrate the Landau-Hopf scenario of successive birth of multi-frequency quasi-periodic motions. A model is proposed that is a network of five globally coupled oscillators characterized by controlled degree of activation of individual oscillators. Illustrations are given for successive birth of tori of increasing dimension via quasi-periodic Hopf bifurcations. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：3291 / 3295
页数：5
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