| 1. | On the stability boundary of hamiltonian systems
哈密顿系统的稳定性边界 |
| 2. | Eigenvalue problem of hamiltonian systems
哈密顿系统的特征值问题 |
| 3. | Study on the measure synchronization in coupled hamiltonian systems
耦合哈密顿系统中测度同步的研究 |
| 4. | Superconducting magnetic energy storage controller design based on hamiltonian system theory
基于哈密顿系统理论的超导储能装置控制器的设计 |
| 5. | Existence and convergence of homoclinic orbits of energy conservative scheme in hamiltonian system
哈密顿系统能量守恒格式的同宿轨的存在性与收敛性 |
| 6. | A class of quintic hamiltonian system with z2 - symmetry is considered . using the methods of qualitative analysis , the global phase portraits are given
摘要利用定性分析的方法，研究一类具有z2 -等变性质的五次哈密顿系统，画出了其全局相图。 |
| 7. | 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
摘要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。 |
| 8. | Later on , the approximate stationary solution of the system is obtained based on the combination of the stochastic averaging methods for quasi - integrable or quasi - non - integrable hamiltonian system and the least - square - method when the parameters of the system located between the two extreme cases
最后，当弹性壁对系统响应的影响介于二者之间时，综合应用拟可积、拟不可积哈密顿系统的随机平均法及最小二乘法研究了该系统的近似平稳响应。 |
| 9. | 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 . first of all , the vibro - impact system is formulated as a stochastically excited and dissipated hamiltonian system . 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
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；在不满足上述条件时，并且在随机激励和阻尼较小的情况下，运用拟哈密顿系统随机平均法研究了该系统的近似平稳响应。 |
| 10. | In the first part , an extended form of the stochastic melnikov method is presented and applied in analysis on the homoclinic bifurcation and chaotic behavior of a nonlinear hamiltonian system with weakly feed - back control and with both harmonic and gaussian white noisy excitations . numerical simulation is used to test the form and the results agree well with the theory , which proves the rationality of the form
第一部分，本文对梅尔尼科夫理论进行拓展，得到了一种高维梅尔尼科夫方法的随机推广形式，并将这种方法应用于带慢变参数和弱反馈控制的非线性哈密顿系统在谐和和随机激励双重作用下的同宿分叉和混沌运动的分析中，同时利用数值试验进行了验证。 |
