Exact solutions for coupled Duffing oscillators

被引：17
|
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.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] Dynamics of a Large Ring of Unidirectionally Coupled Duffing Oscillators
    Perlikowski, P.
    Yanchuk, S.
    Wolfrum, M.
    Stefanski, A.
    Kapitaniak, Tomasz
    IUTAM SYMPOSIUM ON NONLINEAR DYNAMICS FOR ADVANCED TECHNOLOGIES AND ENGINEERING DESIGN, 2013, 32 : 63 - 72
  • [22] Synchronization and chaos of coupled Duffing-Rayleigh oscillators
    Mihara, T
    Kawakami, H
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1996, E79A (10) : 1581 - 1586
  • [23] EXISTENCE AND EXACT MULTIPLICITY OF PHASELOCKED SOLUTIONS OF A KURAMOTO MODEL OF MUTUALLY COUPLED OSCILLATORS
    Troy, William C.
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2015, 75 (04) : 1745 - 1760
  • [24] On the Stability of Exact Subharmonic Solutions of the Duffing Equation
    Anatoly P. Markeev
    Regular and Chaotic Dynamics, 2022, 27 : 668 - 679
  • [25] Exact multiplicity for periodic solutions of Duffing type
    Chen, HB
    Li, Y
    Hou, XJ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 55 (1-2) : 115 - 124
  • [26] On the Stability of Exact Subharmonic Solutions of the Duffing Equation
    Markeev, Anatoly P.
    REGULAR & CHAOTIC DYNAMICS, 2022, 27 (06): : 668 - 679
  • [27] Explicit and exact solutions to cubic Duffing and double-well Duffing equations
    Marinca, Vasile
    Herisanu, Nicolae
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 604 - 609
  • [28] Noise-induced jumps in two coupled Duffing oscillators
    Rajasekar, S
    Valsakumar, MC
    Raj, SP
    PHYSICA A, 1998, 261 (3-4): : 417 - 434
  • [29] Generalized synchronization of coupled Duffing oscillators: an LMI based approach
    Xu, Shiyun
    Yang, Ying
    2010 AMERICAN CONTROL CONFERENCE, 2010, : 1761 - 1766
  • [30] Synchronization of cross-well chaos in coupled duffing oscillators
    Vincent, UE
    Njah, AN
    Akinlade, O
    Solarin, ART
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2005, 19 (20): : 3205 - 3216
12345