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

[1] About the chaos influence on a system with multi-frequency quasi-periodicity and the Landau-Hopf scenario
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Turukina, L. V.
PHYSICA D-NONLINEAR PHENOMENA, 2024, 470
[2] RESONANTLY COUPLED SELF-OSCILLATORS
DVORNIKOV, AA
OGURTSOV, VI
RADIOTEKHNIKA I ELEKTRONIKA, 1977, 22 (05): : 1003 - 1007
[3] Landau-Hopf scenario of passage to turbulence in some problems of elastic stability theory
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[4] Landau-Hopf scenario of passage to turbulence in some problems of elastic stability theory
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DIFFERENTIAL EQUATIONS, 2012, 48 (09) : 1258 - 1271
[5] ON ENERGETIC RELATIONS IN THE SYSTEM OF 2 RESISTIVE COUPLED SELF-OSCILLATORS
GRIGORASH, VV
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[6] Antiphase synchronization in symmetrically coupled self-oscillators
Astakhov, V
Shabunin, A
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (04): : 849 - 857
[7] Stochastic oscillations of two coupled self-oscillators
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Radiotekhnika, 1994, (01): : 36 - 38
[8] Instability of synchronous mode in a system of two coupled microwave self-oscillators
S. S. Novikov
A. A. Usjukevitch
Russian Physics Journal, 2013, 55 : 1296 - 1302
[9] Instability of synchronous mode in a system of two coupled microwave self-oscillators
Novikov, S. S.
Usjukevitch, A. A.
RUSSIAN PHYSICS JOURNAL, 2013, 55 (11) : 1296 - 1302
[10] A possibility of realizing the Landau-Hopf scenario in the problem of tube oscillations under the action of a fluid flow
Kulikov, A. N.
Kulikov, D. A.
THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 203 (01) : 501 - 511

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