研究了带有时滞的哈密顿系统的稳定性问题。
The stability of Hamiltonian systems with time delay was investigated.
测度同步现象是耦合哈密顿系统的一种重要性质。
The phenomenon of measure synchronization is an important property in coupled Hamiltonian systems.
研究小干扰力作用下约束哈密顿系统对称性的摄动问题。
The perturbation problem of symmetries for constrained Hamiltonian systems under the action of small excitation is studied.
用变分方法证明了二阶奇异平面哈密顿系统的同宿轨道的存在性。
The existence of a homoclinic orbit for a singular second order planar Hamiltonian system is proved by using variational methods.
主要研究了一类带有阻尼项的二阶哈密顿系统的周期解的存在性。
The purpose of this paper is to study the existence of periodic solutions of a class of second order Hamiltonian Systems ith damping term.
研究了有限的多自由度耦合哈密顿系统能量耗散过程的动力学问题。
Dynamical problems about energy dissipation in a finite multi-degree of freedom Hamiltonian system are studied.
首先，介绍了耗散系统和一类无源系统——哈密顿系统的一些基础知识。
First of all, we introduced some basic information of dissipation system and a kind of passivity system-hamiltonian system.
首先，利用哈密顿系统的结构特性和零状态可检测性，得到了一种新的设计方法。
First, using the PCH systems' structural properties and the systems' zero-state detectability, a new control design method is developed.
在太阳系动力学中，辛积分器已成为研究哈密顿系统的长期定性演化的最佳工具。
A symplectic integrator is viewed as promise of being a valuable tool in the numerical exploration of planetary and satellite n-body systems in the solar system dynamics.
描述了一类平面2r机械臂的模型，利用哈密顿系统理论证明了该系统的可积性。
A 2r Planar Robot Manipulator system is described, whose integrability is proved by the theory of Hamilton system.
利用主要定理2很容易证明一个系统是否具有文中所给哈密顿函数的哈密顿系统。
Using the main theorem 2 we can easy to validate that whether the systems are Hamiltonian with one of the Hamiltonian functions which are given by this work.
本文利用临界点理论，建立了一类离散哈密顿系统存在多个周期解的一些充分条件。
By using critical point theory, we obtain some sufficient conditions for the existence of multiple periodic solutions to a discrete Hamiltonian system.
本文应用随机激励的耗散的哈密顿系统理论研究了二自由度碰撞振动系统的随机响应。
The response of a two-degree-of-freedom vibro-impact system under stochastic excitation can be obtained by using stochastically excited and dissipated Hamiltonian system theory.
本文回顾了约束哈密顿系统的研究历史，介绍了约束哈密顿系统规范对称性的研究进展。
This thesis reviews the historic research in constrained Hamilton system and progresses of gauge symmetry in constrained Hamilton system.
建立了非保守约束哈密顿系统的正则方程，在增广相空间中研究了系统的对称性与精确不变量。
Firstly, the canonical equations of nonconservative constrained Hamiltonian systems are established, and the symmetries and exact invariants of the systems in the extended phase space are studied.
运用临界点理论中的极小、极大方法得到一类超二次哈密顿系统的周期解的存在性的存在性定理。
Some solvability conditions of periodic solutions are obtained for a class of first order(superquadratic) non-autonomous Hamiltonian systems in light of the minimax methods of critical point theory.
作为哈密顿力学逆问题，从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。
As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
第二个目的是提出广义哈密顿系统的模型。广义哈密顿系统具有外部能量供给、内部能量供给及能量消耗。
Secondly, the model of the generalized Hamiltonian systems is proposed, which consists of externally supplied energy, dissipation and internal energy source.
本文给出了关于哈密顿系统低维环面的一个推广的KAM定理，它适用于同时存在法向频率和双曲法向分量的情况。
A generalized KAM theorem for lower dimensional tori in Hamiltonian systems is obtained, which applies to the case where there are normal frequencies and hyperbolic normal components simultaneously.
在阻尼和随机激励之间满足一定条件时，应用随机激励的耗散的哈密顿系统精确平稳解理论得到该系统的精确平稳响应；
Then the exact stationary solution of the system under certain conditions is obtained by using the exact stationary solution for stochastically excited and dissipated Hamiltonian system.
对端口受控哈密顿系统能量变化和动力学特性进行了分析，采用了分段线性输出反馈对其进行混沌反控制，给出了构造分段线性输出反馈矩阵的方法。
Based on the analysis of energy change and dynamical force characteristics for port control Hamiltom (PCH) system, a method of chaotic anti control is studied via nonlinear output feedback.
从系统的哈密顿量出发，利用玻恩马尔可夫近似，推导出了原子的光学布洛赫方程。
From the Hamiltonian of the atomic system, making use of Born-Markoff approximation, the optical Bloch equations are derived.
本文第一章介绍可积系统的哈密顿方法。
In chapter one, we give a brief introduction to the Hamiltonian method of integrable system.
氨量子微波激射器：在哈密顿量含时情况下一个双态系统的动力学情况。
The ammonia maser: dynamics in a two-state system with a time-dependent Hamiltonian.
研究两粒子的XYZ海森伯模型的热纠缠态，并讨论了这个系统哈密顿量中的参数和温度对纠缠度的影响。
In this paper, study the thermal entanglement of a two-qubit XYZ Heisenberg model, and show the influences for the concurrence of this system in terms of the parameters of the Hamiltonian and t.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
认识这个最普通的哈密顿量不含时双态系统。
Realization that this is the most general two state system with time independent Hamiltonian.
该系统的哈密顿量具有SU(2)代数结构。
采用霍尔斯坦和普里马科夫提出的二次量子化方法把磁振子系统的哈密顿量简化，并应用平均场理论处理了哈密顿量中的非线性相互作用项；
Hamiltonian of magnons system was simplified by the second quantization method presented by Holstein and Primakoff. The nonlinear interaction term of Hanitltonian was dealt with by mean theory.
考虑了非线性系统的反馈哈密顿实现问题，主要讨论两类系统：平面系统和输入通道由拉格朗日子空间张成的系统。
This paper considers the Hamiltonian realization of feedback nonlinear systems. Two kinds of systems are considered: a plane system and a system with input channels spanning a Lagrangian subspace.
应用推荐