NOETHER’S THEOREM AND ITS INVERSE OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS

被引:0
|
作者
刘端
机构
[1] Department of Applied Mechanics
[2] Beijing Institute of Technology
[3] Beijing
关键词
D O I
暂无
中图分类号
学科分类号
摘要
<正> Noether's theorem and its inverse of nonconservative systems subject to first-ordernonlinear nonholonomic constraints are obtained by introducing the generalized quasi-symmetry of the infinitesimal transformation of the group of transformations G_t for thegiven dynamical systems.
引用
收藏
页码:419 / 429
页数:11
相关论文
共 50 条
  • [21] Noether-type theorem for discrete nonconservative dynamical systems with nonregular lattices
    Fu JingLi
    Chen LiQun
    Chen BenYong
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2010, 53 (03) : 545 - 554
  • [22] Noether's Theorem of Nonholonomic Systems in Optimal Control
    Cai, Ping-ping
    Song, Duan
    Fu, Jing-li
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 32 (04): : 875 - 882
  • [23] Approximate Noether theorem and its inverse for nonlinear dynamical systems with approximate nonstandard Lagrangian
    Jin, Shi-Xin
    Li, Yan-Min
    CHAOS SOLITONS & FRACTALS, 2024, 182
  • [24] CONSERVATION LAWS OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS
    Liu Duan (Department of Applied Mechanics
    Acta Mechanica Sinica, 1989, (02) : 167 - 175
  • [25] Noether Theorem for Nonholonomic Systems with Time Delay
    Jin, Shi-Xin
    Zhang, Yi
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [26] Noether symmetries of discrete nonholonomic dynamical systems
    Fu, Jing-Li
    Chen, Ben-Yong
    Chen, Li-Qun
    PHYSICS LETTERS A, 2009, 373 (04) : 409 - 412
  • [27] NOETHER’S CONSERVATION LAWS OF HOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS IN GENERALIZED MECHANICS
    乔永芬
    岳庆文
    董永安
    Applied Mathematics and Mechanics(English Edition), 1994, (09) : 877 - 883
  • [28] NOETHER'S THEOREM OF HERGLOTZ FORM FOR GENERALIZED CHAPLYGIN SYSTEMS WITH NONCONSERVATIVE FORCES
    Yi, Zhang
    Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2024, 56 (09): : 2695 - 2702
  • [29] Noether theorem and its inverse for nonstandard generalized Chaplygin systems
    S. X. Jin
    Y. M. Li
    X. W. Chen
    Acta Mechanica, 2024, 235 : 1361 - 1373
  • [30] Noether theorem and its inverse for nonstandard generalized Chaplygin systems
    Jin, S. X.
    Li, Y. M.
    Chen, X. W.
    ACTA MECHANICA, 2024, 235 (02) : 1361 - 1373