Welcome to Journal of Beijing Institute of Technology
Advance Search
Volume 9Issue 2
.
Turn off MathJax
Article Contents
Article Navigation> JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY> 2000> 9(2): 125-130
CHEN Xiang-wei, MEI Feng-xiang. Existence of Periodic Solutions for Higher Order Autonomous Birkhoff Systems[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(2): 125-130.
Citation: CHEN Xiang-wei, MEI Feng-xiang. Existence of Periodic Solutions for Higher Order Autonomous Birkhoff Systems[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(2): 125-130.
shu

Existence of Periodic Solutions for Higher Order Autonomous Birkhoff Systems

  • Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081

Funds:NationalNaturalScienceFoundation (19972010) ;FundforResearchonDoctoralProgramsinInstitutionsofHigherLearning ;;Nat
  • Received Date:1999-07-15
    Abstract
  • Qualitative methods of ordinary differential equation and Liapunov center theorem were used to study the existence of periodic solutions for higher order autonomous Birkhoff systems. For higher order autonomous Birkhoff systems, the character of the characteristic roots of the Fréchet derivative C was obtained. Furthermore the existence theorem of periodic solutions was obtained by using Liapunov center theorem, and an example was presented to illustrate the results.
    • FullText(HTML)
  • loading
    • References (10)
  • [1]
    Birkhoff G D. Dynamical system[M]. Providence RI: AMS College Publ. , 1927.
    [2]
    Santilli R M. Foundations of theor etical mechanics )[M]. New York: Springer??Verlag, 1983.
    [3]
    Mei Fengx iang , Shi Rongchang, Zhang Yongfa, et al. Dynamics of Birkho ff system(in Chinese)[M]. Beijing: Beijing I nst itute of Technolog y Publishing House, 1996.
    [4]
    Mei Fengx iang . Inverse problems on dynamics of Birkho ff system[J]. J of Beijing Normal Col-lege(in Chinese), 1992, 4: 32-36.
    [5]
    Mei Fengx iang , Shi Rongchang. On the Pfaff??Bir khoff principle[J]. J of Beijing Institute of Technology (in Chinese), 1993, 13(2 )): 265-273.
    [6]
    Mei Fengx iang. Noether theory of Bir khoff system [J]. Science in China (A series), 1993, 23(7): 709-717.
    [7]
    Mei Feng xiang, Wu Huibin. T he fr ame of the Noether% s theor y o f Birkhoffian systems[Z].Conference of ICNM-Ⅱ, Beijing, 1993. 718-720.
    [8]
    Shi Rongchang , Mei Fengx iang, Zhu Haiping. On the stabilit y of the motion of a Bir khoff sys-tem[J]. Mechanics Research Communications, 1994, 21(3): 269-272.
    [9]
    Mei Fengx iang. On the stability o f equilibrium of the autonomous Birkhoff system [J]. Chinese Science Bulletin, 1993, 38(4): 311-313.
    [10]
    Chen Xiangwei, Mei Feng xiang. Singular points, closed orbits, stable manifolds and unstablemanifolds o f second order autonomous Bir khoff systems[J]. J of Beijing I nstitute of Techno logy,1998, 7(4): 330-336.
    • Relative Articles
  • Supplements (0)
  • Cited By
  • 加载中

Catalog

    通讯作者:陈斌, bchen63@163.com
    • 1.

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (182) PDF downloads(165) Cited by()
    Proportional views
    Related

    Address:5 Zhongguancun South Street, Haidian District, Beijing

    Tel:86-10-68914374

    Email:blgywb@bit.edu.cn

    Copy Right © Journal of Beijing Institute of Technology

    Supported by:Beijing Renhe Information Technology Co. Ltd

    /

      Return
      Return
        Baidu
        map