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经典约束力学系统对称性与守恒量研究进展
  • 期刊名称：力学进展，2009, 39(1): 37-43
  • 时间：0
  • 分类：O411.1[理学—理论物理;理学—物理]
  • 作者机构：[1]School of Aerospace Science and Engineering, Beijing Institute of Technology, Beijing 100081, China, [2]School of Science, Beijing Institute of Technology, Beijing 100081, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos 10572021 and 10772025） and the Doctoral Programme Foundation of Institution of Higher Education of China （Grant No 20040007022）.
  • 相关项目：约束力学系统的两类对称性与广义Birkhoff系统动力学
关键词： 微分方程, 保形不变式, NOETHER理论, 积分法, differential equation, conformal invariance, Noether theory, integration
中文摘要：

E-maih heguang@bit.edu.cn

同期刊论文项目
约束力学系统的两类对称性与广义Birkhoff系统动力学
期刊论文 66 会议论文 2 著作 1
微分方程的分析力学方法
期刊论文 102 会议论文 11
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Rosenberg问题的对称性与守恒量
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关于实位移、虚位移和能量积分
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广义Birkhoff系统动力学的一类逆问题
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Conformal invariance and conserved quantity of Hamilton systems
Weakly Noether symmetry for nonholonomic systems of non-Chetaev type
Conformal invariance and Hojman conserved quantities of first order Lagrange systems
Weak Noether symmetry and non-Noether conserved quantities for general holonomic systems
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广义Birkhoff系统的循环积分及降阶法
广义Birkhoff方程的积分方法
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广义Hamilton系统的共形不变性与Hojman守恒量
广义Birkhoff系统的一类积分
弱非完整系统的近似守恒量
广义Pfaff-Birkhoff-d＇Alembert原理与广义Birkhoff系统的形式不变性
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Lagrange系统Lie点变换下的共形不变性与守恒量
理论力学可视化教学与Matlab/Simulink
Conformal invariance and conserved quantity of Hamilton systems
Conformal invariance and conserved quantities of non-conservative Lagrange systems by point transformations
Symmetry of Lagrangians of nonholonomic systems of non-Chetaev＇s type
A potential integration method for Birkhoffian system
Poisson theory of generalized Bikhoff equations
Conformal invariance and Hojman conserved quantities of first order Lagrange systems
Lie symmetries and generalized conserved quantities for Birkhoff system
Weak Noether symmetry and conserved laws of Birkhoffian systems
Form invariance and new conserved quantity of generalised Birkhoffian system
Stability for manifolds of equilibrium states of generalized Birkhoff system
Conformal invariance and Hojman conserved quantities of canonical Hamilton systems
Conformal Invariance and Noether Conserved Quantities of First-Order Lagrange Systems
Symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates
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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
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广义Birkhoff系统动力学的基本框架
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Conserved quantities and symmetries related to stochastic Hamiltonian systems
Constraint stabilization and one-step correction method for dynamical systems
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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
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A symmetry and a conserved quantity for the Birkhoff system
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关于完整非保守系统的3种对称性
Stability of motion of a nonholonomic system
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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
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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
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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
Chetaev型约束力学系统Appell方程的Lie对称性与守恒量
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
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Pfaff约束可积的Euler形式的充分条件
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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
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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
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First integrals and stability of second-order differential equations
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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
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