Modal synchronization of coupled bistable van der Pol oscillators

被引：4
|
作者：
Shiroky, I. B. [1 ]
Gendelman, O., V [1 ]
机构：
[1] Technion Israel Inst Technol, Fac Mech Engn, IL-3200003 Haifa, Israel
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 143卷
基金：
以色列科学基金会;
关键词：
Limit cycle; Coupled oscillators; Synchronization; Modal space; Global bifurcation; DYNAMICS; MODEL;
D O I：
10.1016/j.chaos.2020.110555
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper revisits recently revealed regimes of "nonconventional synchronization" in systems of coupled bi-stable van der Pol oscillators. These regimes are characterized by periodic (or quasiperiodic) almost complete energy exchanges between the coupled oscillators. In the paper it is demonstrated that such responses correspond to synchronization of the modulation amplitudes between symmetric and anti symmetric modes of the system, with persistent phase drift. This observation substantially simplifies the treatment, reduces the dynamics to a simple phase cylinder and allows to reveal a rich set of global and local bifurcations of limit cycles and tori in the system. Among other findings, one encounters an unexpected regime of nonstationary asymmetric synchronization. (c) 2020 Elsevier Ltd. All rights reserved.
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页数：8
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