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.
引用
收藏
页数：16
相关论文
共 50 条
  • [41] Multiple resonance in coupled Duffing oscillators and nonlinear normal modes
    Duque, Rosty B. Martinez
    Romero, Carlos E. Vasquez
    PHYSICAL REVIEW E, 2024, 109 (04)
  • [42] Coupled purely nonlinear oscillators: normal modes and exact solutions for free and forced responses
    Ivana Kovacic
    Miodrag Zukovic
    Nonlinear Dynamics, 2017, 87 : 713 - 726
  • [43] Influence of Nonlinearity on an Exceptional Point in a System of Coupled Duffing Oscillators
    O. S. Temnaya
    A. R. Safin
    O. V. Kravchenko
    S. A. Nikitov
    Journal of Communications Technology and Electronics, 2023, 68 : 979 - 982
  • [44] Study on partial discharge signal detection by coupled Duffing oscillators
    Wu Yong-Feng
    Huang Shao-Ping
    Jin Guo-Bin
    ACTA PHYSICA SINICA, 2013, 62 (13)
  • [45] Phase effect of two coupled periodically driven duffing oscillators
    Yin, Hua-Wei
    Dai, Jian-Hua
    Zhang, Hong-Jun
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 58 (5-A):
  • [46] Chimera states in a Duffing oscillators chain coupled to nearest neighbors
    Clerc, M. G.
    Coulibaly, S.
    Ferre, M. A.
    Rojas, R. G.
    CHAOS, 2018, 28 (08)
  • [47] Exact analytic solutions for the damped Duffing nonlinear oscillator
    Panayotounakos, Dimitrios E.
    Theotokoglou, Efstathios E.
    Markakis, Michalis P.
    COMPTES RENDUS MECANIQUE, 2006, 334 (05): : 311 - 316
  • [48] Exact solutions for free vibration in an asymmetrical duffing equation
    Tamura, Hideyuki
    Okabe, Tadashi
    Sueoka, Atsuo
    JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing, 1994, 37 (02): : 260 - 268
  • [49] Explicit and Exact Solutions for theGeneralized Reaction Duffing Equation
    Zhenya YAN and Hongqing ZHANG(Institute of Mathematical Science
    Communications in Nonlinear Science & Numerical Simulation, 1999, (03) : 3 - 5
  • [50] Exact Multiplicity and Stability of Periodic Solutions for a Duffing Equation
    S. Liang
    Mediterranean Journal of Mathematics, 2013, 10 : 189 - 199
12345