位置：成果数据库 > 期刊 > 期刊详情页
广义Birkhoff系统动力学的基本框架
  • 期刊名称：北京理工大学学报. 27(12). 1035-1038, 2007.12
  • 时间：0
  • 分类：O313[理学—一般力学与力学基础;理学—力学] O316[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]北京理工大学理学院,北京100081, [2]北京理工大学宇航科学技术学院,北京100081
  • 相关基金：国家自然科学基金资助项目（10572021,10772025）;教育部高等学校博士学科点专项科研基金资助课题（20040007022）
  • 相关项目：微分方程的分析力学方法
关键词： 广义Birkhoff系统动力学, 动力学逆问题, 积分方法, 运动稳定性, generalized Birkhoff system dynamics, inverse problem of dynamics, integral methods, stability of motion
中文摘要：

广义Birkhoff系统是一类更广泛的动力学系统．以广义Pfaff—Birkhoff原理和广义Birkhoff方程为基础，构造广义Birkhoff系统动力学的基础理论框架，包括新原理的提出、系统动力学逆问题、各种积分方法以及系统的运动稳定性等．

英文摘要：

Generalized Birkhoff system dynamics is a class of dynamical system superior to traditional classical mechanical systems. Based on the generalized Pfaff-Birkhoff principle and the generalized Birkhoff equations, the basic theoretical framework of generalized Birkhoff system dynamics is established. It deals with the new principles, inverse problems of system dynamics, many integral methods, as well as the stability of motion of systems et al.

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
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
同项目期刊论文
Dynamics of Constrained Mechanical Systems
关于广义动量守恒的物理意义
关于Birkhoff方程和Lagrange方程
Symmetry of Lagrangians of nonholonomic systems of non-Chetaev’s type
一类广义Birkhoff系统的无限小正则变换与积分
Rosenberg问题的对称性与守恒量
Conformal invariance and integration of first-order differential equations
经典约束力学系统对称性与守恒量研究进展
关于实位移、虚位移和能量积分
Conformal invariance and conserved quantities of non-conservative Lagrange systems by point transfor
Last multiplier of generalized Hamilton system
关于非完整系统的线性积分
Symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates
关于达朗贝尔原理
相对运动动力学系统的Lagrange对称性
关于Appell的理论力学
经典非完整Appell-Hamel约束的性质
Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems
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
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
Poisson theory of generalized Birkhoff equations
Algebraic structure and Poisson method for a weakly nonholonomic system
一类广义Birkhoff系统的广义正则变换
广义Birkhoff系统的循环积分及降阶法
广义Birkhoff方程的积分方法
A conformal invariance for generalized Birkhoff equations
Type of integral and reduction for a generalized Birkhoffian system
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
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
一般完整系统Mei对称性的共形不变性与守恒量
Chetaev型非完整系统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
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
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
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
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
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