事件空间离散完整系统的Noether理论
DOI:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

山东省自然科学基金资助项目(ZR2011AM012),中国石油大学(华东)研究生创新工程项目(CXYB11-12)


Noether theorem of discrete holonomic systems in event space
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    研究差分离散变分原理和事件空间中离散完整系统的Noether理论. 运用差分离散变分方法,通过群的无限小变换,得到了事件空间中离散完整系统的差分离散变分原理,并建立了离散的运动方程. 得到了系统的Noether对称性的判据方程和Noether守恒量的形式以及其存在的条件.举例说明结果的应用.

    Abstract:

    Difference discrete variation principle and Noether theorem of discrete holonomic systems in event space were studied. By the difference discrete variation approach,the difference discrete variation principle of discrete holonomic systems in event space was derived. The discrete equations of motion of the system were established. The criterion of Noether symmetry of the system was given. The discrete Noether conserved quantity and the condition for its existence were obtained. Finally,an example was discussed to show the applications of the results.

    参考文献
    相似文献
    引证文献
引用本文

张伟伟,方建会,张斌.事件空间离散完整系统的Noether理论[J].动力学与控制学报,2012,10(2):117~120; Zhang Weiwei, Fang Jianhui, Zhang Bin. Noether theorem of discrete holonomic systems in event space[J]. Journal of Dynamics and Control,2012,10(2):117-120.

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2011-11-14
  • 最后修改日期:2012-03-05
  • 录用日期:
  • 在线发布日期: 2012-06-01
  • 出版日期:

微信公众号二维码

手机版网站二维码