Exact solutions for coupled Duffing oscillators

被引：18
|
作者：
Lenci, Stefano [1 ]
机构：
[1] Polytech Univ Marche, Dept Civil & Bldg Engn & Architecture, I-60131 Ancona, Italy
来源：
MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2022年 / 165卷
关键词：
Coupled Duffing oscillators; Exact solution; Nonlinear resonance; Linear and nonlinear coupling; NONLINEAR NORMAL-MODES; CHAOS; RESONANCE; SYSTEMS; SYNCHRONIZATION; DISCRETE; CURVES;
D O I：
10.1016/j.ymssp.2021.108299
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The exact analytical solution of a system made of two coupled Duffing oscillators is obtained. The mathematical solution is illustrated by means of some examples aimed at showing the dynamical phenomena occurring in the considered system. Frequency response curves are reported for different value of the parameters, highlighting the effects of the linear and nonlinear coupling between the two variables. The presence of various solution branches, up to four coexisting attractors, is reported.
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页数：16
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