Experimental observation of three-frequency quasiperiodic solution in a ring of unidirectionally coupled oscillators

被引：29

作者：

Borkowski, L. ^{[1
]}

Perlikowski, P. ^{[1
]}

Kapitaniak, T. ^{[1
]}

Stefanski, A. ^{[1
]}

机构：

[1] Tech Univ Lodz, Div Dynam, PL-90924 Lodz, Poland

来源：

PHYSICAL REVIEW E | 2015年 / 91卷 / 06期

关键词：

HIGH-DIMENSIONAL CHAOS; PHASE-LOCKING; TRANSITION; DYNAMICS; BIFURCATIONS; MOTION; SYSTEM; ATTRACTORS; SYMMETRY; 3-TORI;

D O I：

10.1103/PhysRevE.91.062906

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The subject of the experimental research supported with numerical simulations presented in this paper is an analog electrical circuit representing the ring of unidirectionally coupled single-well Duffing oscillators. The research is concentrated on the existence of the stable three-frequency quasiperiodic attractor in this system. It is shown that such solution can be robustly stable in a wide range of parameters of the system under consideration in spite of a parameter mismatch which is unavoidable during experiment.

引用

页数：7

共 37 条

[1] Characterizing bifurcations and classes of motion in the transition to chaos through 3D-tori of a continuous experimental system in solid mechanics [J].