Oscillations and Synchronization in a System of Three Reactively Coupled Oscillators

被引：2
|
作者：
Kuznetsov, Alexander P. [1 ]
Turukina, Ludmila V. [2 ]
Chernyshov, Nikolai Yu [3 ]
Sedova, Yuliya V. [1 ]
机构：
[1] RAS, Saratov Branch, Kotelnikovs Inst Radioengn & Elect, Zelenaya 38, Saratov 410019, Russia
[2] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam, Germany
[3] Saratov NG Chernyshevskii State Univ, Astrachanskaya 83, Saratov 410012, Russia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2016年 / 26卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Synchronization; quasi-periodic oscillation; bifurcation; chaos; PHASE DYNAMICS; BIFURCATION; LOCKING; VAN; POL; CHIMERA; STATES;
D O I：
10.1142/S0218127416500103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a system of three interacting van der Pol oscillators with reactive coupling. Phase equations are derived, using proper order of expansion over the coupling parameter. The dynamics of the system is studied by means of the bifurcation analysis and with the method of Lyapunov exponent charts. Essential and physically meaningful features of the reactive coupling are discussed.
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页数：10
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