位置：成果数据库 > 期刊 > 期刊详情页
Chetaev型约束力学系统Appell方程的Lie对称性与守恒量
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O316[理学—一般力学与力学基础;理学—力学] V423[航空宇航科学与技术—飞行器设计;航空宇航科学技术]
  • 作者机构：[1]江南大学理学院,无锡214122, [2]平顶山学院电气信息工程学院,平顶山467002, [3]浙江理工大学数学力学与数学物理研究所,杭州310018
  • 相关基金：国家自然科学基金（批准号：10572021）和江南大学预研基金（批准号：2008LYY011）资助的课题.
作者： 贾利群[1], 崔金超[1], 张耀宇[2], 罗绍凯[3]
关键词： Appell方程, Chetaev型约束力学系统, Lie对称性, 守恒量, Appell equation,Chetaev＇s type constrained mechanical system,Lie symmetry,conserved quantity
中文摘要：

研究Chetaev型约束力学系统Appell方程的Lie对称性和Lie对称性直接导致的守恒量.分析Lagrange函数和A函数的关系;讨论Chetaev型约束力学系统Appell方程的Lie对称性导致的守恒量的一般研究方法;在群的无限小变换下,给出Appell方程Lie对称性的定义和判据;得到Lie对称性的结构方程以及Lie对称性直接导致的守恒量的表达式.举例说明结果的应用.

英文摘要：

Lie symmetry of Appell equation and conserved quantity deduced directly by Lie symmetry for a Chetaev’s type constrained mechanical system are investigated.The relations between Lagrange function and A function are analyzed.A general approach of studying conserved quantity deduced by Lie symmetry of Appell equation for a Chetaev’s type constrained mechanical system is discussed.The definition and the criterion of Lie symmetry of Appell equations under the infinitesimal transformations of groups are given.The structural equation of Lie symmetry and the expression of conserved quantity deduced directly by Lie symmetry are obtained.An example is given to illustrate the application of the results.

同期刊论文项目
微分方程的分析力学方法
期刊论文 102 会议论文 11
同项目期刊论文
经典约束力学系统对称性与守恒量研究进展
Symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates
相对运动动力学系统的Lagrange对称性
广义Birkhoff系统动力学的一类逆问题
广义Birkhoff系统的积分不变量
Weak Noether symmetry and non-Noether conserved quantities for general holonomic systems
Analytical mechanics methods for solving Whittaker equations
Lagrange 系统的弱Noether对称性
Weakly Noether symmetry for nonholonomic systems of Chetaev’s type
Structure-presserving algoritnms for the Lorenz system
三质点Toda晶格微分方程的积分
广义Birkhoff系统动力学的基本框架
Birkhoff系统的时间积分定理
Conserved quantities and symmetries related to stochastic Hamiltonian systems
Constraint stabilization and one-step correction method for dynamical systems
微分方程借助辅助变量的Hamilton化与求解
Symmetry of Lagrangians of nonholonomic systems
Nondassical potential symmetries and invariant solutions of heat equation
A Birkhoff-Noether method of solving differential equations
On the Rosen-Edelstein model and the theoretical foundation of nonholonomic mechanics
Stability of controlled Hamilton systems excited by Gauss white noise
Hojman conserved quantity deduced be weak Noether symmetry for Lagrange systems
A conformal invariance for generalized Birkhoff equations
Potential method of integration for solving the equations of mechanical systems
A symmetry and a conserved quantity for the Birkhoff system
求Emden-Fowler方程积分的分析力学方法
关于完整非保守系统的3种对称性
Stability of motion of a nonholonomic system
理论力学中的概率问题
Positive periodic solutions of nonlinear functional difference equation
Fokker-Planck方程的非古典势对称群及新显式解
求解微分方程的Hojman方法
Stability with respect to partial variables for Birkhoff systems
Lagrange系统的共形不变性与Hojman守恒量
广义Hamilton系统的共形不变性与Hojman守恒量
关于Noether对称性的两种理解
Potential method of integration for solving the equations of mechanical systems
An Effective Method for Seeking Conservation Laws of Partial Differential Equations
An inverse problem in analytical dynamics
Hamilton-Jacobi method for solving ordinary differential equations
弱非完整系统的近似守恒量
一般完整系统Mei对称性的共形不变性与守恒量
Lagrange系统Lie点变换下的共形不变性与守恒量
Conformal invariance and conserved quantity of Hamilton systems
Conformal invariance and conserved quantities of non-conservative Lagrange systems by point transformations
A potential integration method for Birkhoffian system
Poisson theory of generalized Bikhoff equations
Conformal invariance and Hojman conserved quantities of first order Lagrange systems
Stability with respect to partial variables for Birkhoff systems
Lagrange系统的弱Noether对称性
Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量
相对运动动力学系统Nielsen方程的Lie对称性与Hojman守恒量
事件空间中单面非Chetaev型非完整系统Nielsen方程的Mei对称性与Mei守恒量
广义Birkhoff系统的时间积分定理
变质量完整动力学系统的共形不变性与守恒量
Appell方程Mei对称性导致的一种新型守恒量
事件空间中Birkhoff系统的Noether理论
事件空间中Birkhoff系统的参数方程及其第一积分
非完整系统Nielsen方程的Mei对称性与Mei守恒量
一类完整系统的Mei对称性与守恒量
一类非完整系统运动微分方程的Lie对称性与Hojman型守恒量
Maggi方程的形式不变性与Hojman守恒量
事件空间中单面非Chetaev型非完整约束系统的Mei守恒量
事件空间中非Chetaev型非完整系统的Mei对称性与Mei守恒量
事件空间中非Chetaev型非完整约束系统的Hojman守恒量
非完整系统Tzénoff方程的Mei对称性和守恒量
Lie Symmetry and Hojman Conserved Quantity of Maggi Equations
Birkhoff系统的局部能量积分
Lagrange系统的特殊Noether-Lie对称性和特殊守恒量
完整系统Appell方程Mei对称性的结构方程和Mei守恒量
Chetaev型约束力学系统Appell方程的Mei对称性与Mei守恒量
Pfaff约束可积的Euler形式的充分条件
Chetaev型非完整系统Appell方程Mei对称性的结构方程和Mei守恒量
有多余坐标的完整系统Appell方程Mei对称性导致的一种新型守恒量
Structure-preserving algorithms for the Duffing equation
A type of new conserved quantity deduced from Mei symmetry for Appell equations in a holonomic system with unilateral constraints
Pfaff约束可积的Mei形式的充分条件
Stability of Controlled Hamilton Systems Excited by Gaussian White Noise
Pfaff约束可积的Euler形式的充分必要条件
Constraint Stabilization and One-Step Correction Method for Dynamical Systems
Conformal invariance and Hojman conserved quantities of canonical Hamilton systems
Conformal Invariance and Noether Conserved Quantities of First-Order Lagrange Systems
Field Method for Integrating the First Order Differential Equation
Mei Symmetry and Mei Conserved Quantity for a Non-holonomic System of Non-Chetaev＇s Type with Unilateral Constraints in Nielsen Style
Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic system
First integrals and stability of second-order differential equations
Algorithm Based on the Gradient-Hamilton Decomposition Theory of Vector Fields
Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system
准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量
Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations in Holonomic Systems with Unilateral Constraints
Lagrange-Noether method for solving second-order differential equations
On the Rosen-Edelstein model and the theoretical foundation of nonholonomic mechanics
一般完整系统Appell方程的Mei对称性
Noether＇s theorem and one-step corrections method for holonomic system
Conserved quantities and symmetries related to stochastic Hamiltonian systems
期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,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）,中国北大核心期刊（2000版）
  • 被引量:49876