保守系统

本文论述了据李群理论构造的Poincare方程所描述的非完整保守系统的相应结果。

This paper treats the corresponding result for a nonholonomic conservative system described by Poincare 's equations which are constructed from the standpoint of the theory of Lie groups .

其一是保守系统的非线性自由振动；

The one is the nonlinear free oscillation of conservative system .

最后用跟随力（followerforces）的非保守系统来说明这个理论。

Non-conservative systems with follower forces are used to illustrate the theory .

非完整非保守系统Hamilton原理的几何描述

A Geometric Description of the Hamilton Principle for Nonconservative Nonholonomic Systems

准坐标下广义非保守系统Lagrange方程的积分因子与守恒定理

Integrating factors and conservation theorems of Lagrange 's equations for generalized nonconservative systems in terms of quasi-coordinates

用积分因子方法研究准坐标下广义非保守系统Lagrange方程的守恒定理。

The conservation theorems of the Lagrange 's equations for generalized nonconservative systems in terms of quasi-coordinates are studied by using the method of integrating factors .

用MLP法求强非线性保守系统的次谐共振周期解

Solving subharmonic and ultraharmonic resonance periodic solutions of strongly nonlinear conservative systems with the MLP method

本文用空间壳单元考虑了材料非线性、几何非线性及大变形对载荷影响的非保守系统，分析了U形波纹管的各种受载情况，并和实验进行了对比，吻合得比较好。

Considering the non-conservative system which load is affected by the material non-linearity and geometrical non-linearity as wall as large deformation , the paper analyses result is very similar to the experiment result .

本文给出广义力学中完整非保守系统三种形式的Noether守恒律。

In this paper , three kinds of forms for Noether 's conservation laws of holo-nomic nonconservative dynamical systems in generalized mechanics are given .

这篇文章，用Schauder的不动点定理和逐次逼近法，给出了判定保守系统周期解的存在性和唯一性的充分条件。

In this paper , using the fixed point therom of schauder and method of successive approximations , have established some existence aad uniqueness of periodic solutions in autonomous systems .

本文证明，完整非保守系统不存在Poincare-Cartan积分不变量和Poincare通用积分不变量。

In this paper , we prove that for holonomic nonconservative dynamical systems the integral invariant of Poincare and Cartan and the universal integral invariant of Poincare do not exist .

本文证明，非完整非保守系统存在Poincare一Cartan型和Poincare型的积分变量关系.而非完整保守系统存在Poincare一Cartan积分不变量和Poincare通用积分不变量。

This paper proves that for the nonholonomic nonconservative system the integral variants of Poincare-Cartan type and Poincare type exist . For the nonholonomic conservative systems , it gives Poincare-Cartan integral invariant and Poincare universal integral invariant .

利用测度同步原理分别对耦合标准映象和耦合Duffing哈密顿系统进行了混沌控制，发现该控制方法简单、控制效果稳定性好并能保持系统地保守性，因此增加了对保守系统的控制方法。

By using the principle of MS , we also studied chaos control on the coupled standard maps and coupled Duffing Hamiltonian systems , found that the control method is simple and stable , thereby increasing the control of conservative systems .

根据一般动力学系统在相空间的作用积分在无穷小群变换下的变换性质，分别建立起完整和非完整非保守系统的Noether定理和逆定理。

Noether 's theorem and its inverse one of holonomic and nonholonomic non-conservative sytems are presented , respectively , according to the transformation properties of active integral of general dynamical systems in phase space under the infinitesimal transformation .

非保守系统的新型正则方程

On the mew forms of the canonical equations for Nonconservative Systems

保守系统强非线性强迫振动问题的一种解法

A Method for Solving Strongly Nonlinear Forced Oscillation in Conservative System

共振下非保守系统边值问题解的存在唯一性

Unique existence of solution to BVP of Nonconservative Systems ay resonance

用改进周期脉冲方法控制保守系统的混沌

A modified periodic pulse method to control the chaos of conservative flow

相空间中非完整非保守系统的形式不变性

Form invariance of nonconservative nonholonomic systems in the phase space

非保守系统的有限变形弹性变分原理

Variational principles of finite deformation of elasticity in Nonconservative Systems

广义非保守系统两类变量广义拟变分原理

Generalized quasi-variational principles with two kinds of variables in generalized non-conservative systems

约束保守系统导出了微分代数方程，其数值求解总是采用差分法。

The conserved constrained dynamical system derives to differential-algebraic equation .

广义力学中完整非保守系统的时间积分定理

Time Integral Theorems for Holonomic Nonconservative Dynamical Systems in Generalized Classical Mechanics

具有时滞的保守系统的2π周期解

2 π - periodic solutions of conservative systems with a deviating argument

一类非线性双曲型方程组的大范围解非完整保守系统的广义正则变换的充要条件

Necessary and Sufficient Conditions of Generalized Canonical Transformation for Nonholonomic Conservation Systems

它是一个保守系统，所以所有的能量级都是负值。

It is a conservative system so all the energies are negative .

广义非保守系统的新型最小作用量原理

Principles of new form least action of generalized Nonconservative Systems

本文首先研究弹性静力非保守系统的拟变分原理。

Firstly quasi-variational principle for elasto-static non-conservative system is studied .

弹性非保守系统的拟固有频率变分原理及其应用

Variational principles for the quasi-natural frequency of nonconservative elastic systems and their applications

周期外力作用下一类非保守系统的周期解

Periodic solutions of non-conservative systems under periodic external force