Periodic solutions of a nonlinear oscillatory system with two degrees of freedom

被引：0
|
作者：
Zhang, ZQ [1 ]
Zhu, YS
Li, BW
机构：
[1] Hunan Univ, Dept Appl Math, Changsha 410082, Peoples R China
[2] Wuhan Univ, Coll Math, Wuhan 430072, Peoples R China
来源：
ANZIAM JOURNAL | 2005年 / 47卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1017/S1446181100010014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We. study a nonlinear oscillatory system with two degrees of freedom. By using the continuation theorem of coincidence degree theory, some sufficient conditions are obtained to establish the existence of periodic solutions of the system.
引用
收藏
页码：249 / 263
页数：15
相关论文
共 50 条
  • [1] NUMERICAL EXTENSION OF PERIODIC SOLUTIONS OF A LAGRANGIAN SYSTEM WITH TWO DEGREES OF FREEDOM.
    Sokol'skii, A.G.
    Khovanskyi, S.O.
    Cosmic Research (English translation of Kosmicheskie Issledovaniya), 1983, 21 (06): : 656 - 665
  • [2] Annihilation of high-amplitude periodic responses of a forced two degrees-of-freedom oscillatory system using nonlinear energy sink
    Ahmadabadi, Zahra Nili
    Khadem, Siamak E.
    JOURNAL OF VIBRATION AND CONTROL, 2013, 19 (16) : 2401 - 2412
  • [3] Asymptotic solutions and bifurcation analysis of the strongly nonlinear oscillation system with two degrees of freedom
    Wang, Wei
    Zhang, Qi-Chang
    Tian, Rui-Lan
    Zhendong yu Chongji/Journal of Vibration and Shock, 2008, 27 (05): : 130 - 133
  • [4] Vibrations of a Nonlinear System with Two Degrees of Freedom.
    Belyaev, Yu.V.
    Izvestiya Vysshikh Uchebnykh Zavedenii, Mashinostroenie, 1974, (05): : 14 - 18
  • [5] The effect of the periodic driving force on a system with two degrees of freedom
    Kargapol'tsev, S. K.
    Gozbenko, V. E.
    Kuznetsov, B. O.
    Karlina, Yu I.
    Karlina, A. I.
    INTERNATIONAL CONFERENCE: INFORMATION TECHNOLOGIES IN BUSINESS AND INDUSTRY, 2019, 1333
  • [6] Periodic response of nonlinear dynamical system with large number of degrees of freedom
    Patel, B. P.
    Ibrahim, S. M.
    Nath, Y.
    SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2009, 34 (06): : 1033 - 1037
  • [7] Periodic response of nonlinear dynamical system with large number of degrees of freedom
    B. P. Patel
    S. M. Ibrahim
    Y. Nath
    Sadhana, 2009, 34 : 1033 - 1037
  • [8] Stability criteria for periodic solutions of autonomous Hamiltonian systems with two degrees of freedom
    Zevin, AA
    NONLINEARITY, 1998, 11 (01) : 19 - 26
  • [9] FORCE APPROPRIATION METHOD FOR TWO DEGREES OF FREEDOM NONLINEAR SYSTEM
    Sani, Mohd Shahrir Mohd
    Rani, Muhamad Norhisham Abdul
    Yunus, Mohd Azmi
    Isa, Ahmad Azlan Mat
    Roslan, Liyana
    JURNAL TEKNOLOGI, 2015, 76 (08): : 5 - 9
  • [10] INTERNAL RESONANCES IN NONLINEAR OSCILLATORY SYSTEMS WITH 3 DEGREES OF FREEDOM
    LI, ZY
    SCHRAPEL, HD
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1988, 68 (04): : T73 - T75
12345