Quasi-periodic bifurcations and "amplitude death" in low-dimensional ensemble of van der Pol oscillators

被引：13
|
作者：
Emelianova, Yu. P. [1 ]
Kuznetsov, A. P. [2 ]
Turukina, L. V. [2 ,3 ]
机构：
[1] Saratov State Tech Univ, Dept Elect & Instrumentat, Saratov 410054, Russia
[2] Kotelnikovs Inst Radioengn & Elect RAS, Saratov Branch, Saratov 410019, Russia
[3] Univ Potsdam, Inst Phys & Astron, D-14476 Potsdam, Germany
来源：
PHYSICS LETTERS A | 2014年 / 378卷 / 03期
关键词：
Chain of van der Pol oscillators; Bifurcations of tori; Amplitude death; Broadband synchronization; COUPLED VAN; SYNCHRONIZATION;
D O I：
10.1016/j.physleta.2013.10.049
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The dynamics of the four dissipatively coupled van der Pol oscillators is considered. Lyapunov chart is presented in the parameter plane. Its arrangement is discussed. We discuss the bifurcations of tori in the system at large frequency detuning of the oscillators. Here are quasi-periodic saddle-node, Hopf and Neimark-Sacker bifurcations. The effect of increase of the threshold for the "amplitude death" regime and the possibilities of complete and partial broadband synchronization are revealed. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：153 / 157
页数：5
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