The role of asymmetrical and repulsive coupling in the dynamics of two coupled van der Pol oscillators

被引：31
|
作者：
Astakhov, Sergey [1 ]
Gulai, Artem [2 ]
Fujiwara, Naoya [3 ]
Kurths, Juergen [4 ,5 ]
机构：
[1] Yuri Gagarin State Tech Univ Saratov, Informat Secur Automated Syst Dept, Politekh Skaya St 77, Saratov 410054, Russia
[2] Yuri Gagarin State Tech Univ Saratov, Radioelect & Telecommun Dept, Politekh Skaya St 77, Saratov 410054, Russia
[3] Univ Tokyo, Ctr Spatial Informat Sci, Chiba 2778568, Japan
[4] Potsdam Inst Climate Impact Res PIK, D-14473 Potsdam, Germany
[5] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen, Scotland
来源：
CHAOS | 2016年 / 26卷 / 02期
关键词：
CHAOTIC OSCILLATORS; SYNCHRONIZATION; PHASE; SYSTEMS;
D O I：
10.1063/1.4940967
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A system of two asymmetrically coupled van der Pol oscillators has been studied. We show that the introduction of a small asymmetry in coupling leads to the appearance of a "wideband synchronization channel" in the bifurcational structure of the parameter space. An increase of asymmetry and transition to repulsive interaction leads to the formation of multistability. As the result, the tip of the Arnold's tongue widens due to the formation of folds defined by saddle-node bifurcation curves for the limit cycles on the torus. (C) 2016 AIP Publishing LLC.
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页数：9
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