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

页码：3291 / 3295

页数：5

共 36 条

[31] Ginzburg-Landau approximation for self-sustained oscillators weakly coupled on complex directed graphs
Di Patti, Francesca
Fanelli, Duccio
Miele, Filippo
Carletti, Timoteo
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 56 : 447 - 456
[32] Chaos and self-organization of oscillations in the system of coupled oscillators with a nonlinear delayed feedback
Kal'yanov, E.V.
Radiotekhnika i Elektronika, 2002, 47 (11): : 1376 - 1384
[33] Synchronization of self-sustained oscillators inertially coupled through common damped system
Pankratova, E. V.
Belykh, V. N.
PHYSICS LETTERS A, 2012, 376 (45) : 3076 - 3084
[34] Chaos and self-organization of oscillations in the system of coupled oscillators with a nonlinear delayed feedback
Kal'yanov, EV
JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS, 2002, 47 (11) : 1258 - 1265
[35] Delay-Induced Double Hopf Bifurcations in a System of Two Delay-Coupled van der Pol-Duffing Oscillators
Jiang, Heping
Zhang, Tonghua
Song, Yongli
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (04):
[36] SELF-CONSISTENT FIELD VIBRATIONAL ENERGIES FOR A SYSTEM OF COUPLED OSCILLATORS USING THE HYPERVIRIAL AND THE HELLMANN-FEYNMAN THEOREMS
REQUENA, A
PENA, R
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1983, 29 (05): : 471 - 475

← 1 2 3 4 →