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Chetaev型非完整系统Appell方程Mei对称性的结构方程和Mei守恒量
  • ISSN号：1000-2367
  • 期刊名称：《河南师范大学学报：自然科学版》
  • 时间：0
  • 分类：O316[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]江南大学理学院,江苏无锡214122
  • 相关基金：国家自然科学基金（10572021）;江南大学预研基金（2008LYY011）资助的课题
作者： 崔金超[1], 贾利群[1], 杨新芳[1]
关键词： APPELL方程, 结构方程, MEI守恒量, Chetaev型非完整系统, Appell equation, structural equation, Mei conserved quantity, non-holonomic system of Chetaev＇s type
中文摘要：

研究Chetaev型非完整系统Appell方程Mei对称性的结构方程和Mei守恒量.建立Chetaev型非完整系统的Appell方程和系统的运动微分方程;给出函数沿系统运动轨道曲线对时间全导数的表示式,并在群的无限小变换下,给出Appell方程Mei对称性的定义和判据;得到用Appell函数表示的Mei对称性的结构方程和Mei守恒量的表达式.举例说明结果的应用.

英文摘要：

Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in Chetaev nonholonomic systems are investigated. Appell equations and differential equations of motion for Chetaev nonholonomic mechanic systems are established. A expression of the total first derivative of the function with respect of time along the systematic motional track curve, and the definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are also given. The expression of the structural equation and Mei conserved quantity for Mei symmetry in Appell is obtained. An example is given to illustrate the application of the results.

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期刊信息
  • 《河南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:河南师范大学
  • 主办单位:河南师范大学
  • 主编：王记录
  • 地址：河南省新乡市建设东路46号
  • 邮编：453007
  • 邮箱：
  • 电话：0373-3329394 3329272
  • 国际标准刊号：ISSN：1000-2367
  • 国内统一刊号：ISSN：41-1109/N
  • 邮发代号:36-55
  • 获奖情况:
  • 国家新闻出版局、国家科委优秀学报奖,河南省科委、河南省教委优秀学报
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,英国农业与生物科学研究中心文摘,德国数学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:7535