Free, forced, and coupled oscillators' dynamics

被引:0
|
作者
Odyniec, M [1 ]
机构
[1] Odyniec Consulting, El Cerrito, CA 94530 USA
关键词
electromagnetic coupling; nervous system; oscillators; phase noise; phase synchronization;
D O I
10.1109/MWSYM.2005.1516759
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This tutorial reviews nonlinear methods of oscillator analysis. Single oscillator is used to introduce the concept of invariant surfaces that persist under small perturbations and their relationship to the linear theory, harmonic balance, and phase noise analysis. The method is expanded to coupled oscillators and applied to oscillatory phenomena at cell and at molecular levels.
引用
收藏
页码:875 / 878
页数:4
相关论文
共 50 条
  • [1] ON THE DYNAMICS OF COUPLED PARAMETRICALLY FORCED OSCILLATORS
    Moehlis, Jeff
    PROCEEDINGS OF THE ASME DYNAMIC SYSTEMS AND CONTROL CONFERENCE 2008, PTS A AND B, 2009, : 711 - 718
  • [2] Dynamics of weakly coupled parametrically forced oscillators
    Salgado Sanchez, P.
    Porter, J.
    Tinao, I.
    Laveron-Simavilla, A.
    PHYSICAL REVIEW E, 2016, 94 (02)
  • [3] Synchronization of coupled forced oscillators
    Chan, WCC
    Chao, YD
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 218 (01) : 97 - 116
  • [4] Forced synchronization of coupled oscillators
    Kitajima, H
    Noumi, Y
    Kousaka, T
    Kawakami, H
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1999, E82A (04) : 700 - 703
  • [5] Effect of amplitude and frequency of limit cycle oscillators on their coupled and forced dynamics
    D. Premraj
    Krishna Manoj
    Samadhan A. Pawar
    R. I. Sujith
    Nonlinear Dynamics, 2021, 103 : 1439 - 1452
  • [6] Effect of amplitude and frequency of limit cycle oscillators on their coupled and forced dynamics
    Premraj, D.
    Manoj, Krishna
    Pawar, Samadhan A.
    Sujith, R. I.
    NONLINEAR DYNAMICS, 2021, 103 (02) : 1439 - 1452
  • [7] The dynamics of coupled oscillators
    Fronzoni, L
    JOURNAL DE PHYSIQUE IV, 1998, 8 (P6): : 233 - 239
  • [8] Coupled purely nonlinear oscillators: normal modes and exact solutions for free and forced responses
    Kovacic, Ivana
    Zukovic, Miodrag
    NONLINEAR DYNAMICS, 2017, 87 (01) : 713 - 726
  • [9] Coupled purely nonlinear oscillators: normal modes and exact solutions for free and forced responses
    Ivana Kovacic
    Miodrag Zukovic
    Nonlinear Dynamics, 2017, 87 : 713 - 726
  • [10] Forced nonlinear resonance in a system of coupled oscillators
    Glebov, Sergei
    Kiselev, Oleg
    Tarkhanov, Nikolai
    CHAOS, 2011, 21 (02)