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一般完整系统Appell方程的Mei对称性
  • 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：O320[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]平顶山学院电气信息工程学院,河南平顶山467002, [2]江南大学理学院,无锡214122, [3]商丘师范学院物理与信息工程系,河南商丘476000
  • 相关基金：国家自然科学基金（10572021;10372053）
作者： 张耀宇[1], 贾利群[2], 郑世旺[3]
关键词： APPELL方程, 完整系统, MEI对称性, MEI守恒量, Appell equation, holonomic system, Mei symmetry, Mei conserved quantity
中文摘要：

研究一般完整系统Appell方程的Mei对称性和Mei守恒量．建立一般完整系统的Appell方程；在群的无限小变换下，给出一般完整系统Appell方程的Mei对称性的定义和判据；讨论一般完整系统Appell方程Mei对称性和Mei守恒量的研究方法；得到Mei对称性导致的Mei守恒量的存在条件以及Mei守恒量的表达式．

英文摘要：

Mei symmetry and Mei conserved quantity of general holonomic systems are studied. Appell equations of a general holonomic mechanic system are established. The definition and the criterion of Mei symmetry of Appell equations under the infinitesimal transformations of groups are given. A research method between Mei symmetry and Mei conserved quantity is discussed for general holonomic systems. The existence condition and the expression of Mei conserved quantity which are deduced directly by Mei symmetry are obtained.

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Chetaev型约束力学系统Appell方程的Lie对称性与守恒量
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非完整系统Tzénoff方程的Mei对称性和守恒量
Pfaff约束可积的Euler形式的充分条件
Constraint Stabilization and One-Step Correction Method for Dynamical Systems
Noether＇s theorem and one-step corrections method for holonomic system
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Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems
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可控非完整系统的Noether对称性和守恒量
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Lie symmetries, perturbation to symmetries and adiabatic invariants of Poincaré equations
Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems
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Conserved quantities and symmetries related to stochastic Hamiltonian systems
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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