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理论力学中的概率问题
  • 期刊名称：力学与实践. 29(1). 69-70, 2007.02
  • 时间：0
  • 分类：O31-4[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
  • 相关基金：国家自然科学基金项目资助（10572021）,北京理工大学基础研究基金（BIT-UBF-200507A4206）.
  • 相关项目：微分方程的分析力学方法
关键词： 力学系统, 随机变量, 概率, 正态分布
中文摘要：

讨论了含有随机变量的力学系统.通过4个例题给出了研究力学系统概率问题的具体方法.

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
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Stability of motion of a nonholonomic system
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
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事件空间中单面非Chetaev型非完整约束系统的Mei守恒量
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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
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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
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
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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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Noether＇s theorem and one-step corrections method for holonomic system
Conserved quantities and symmetries related to stochastic Hamiltonian systems