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- singular Hamiltonian systems 奇异Hamilton系统
- The existence of a homoclinic orbit for a singular second order planar Hamiltonian system is proved by using variational methods. 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.
- A variational difference method for obtaining the periodic solutions of N-body type Hamiltonian systems with singular potential was provided. By this difference scheme, infinitely many periodic solutions can be found. 摘要给出一种求解具有奇异势能N体问题周期解的新差分格式,利用这种差分格式可以得到无穷多个周期解,并通过一个具体算例说明了方法的有效性。
- A nearly integrable system is an important branch of Hamiltonian system. 近可积系统是哈密顿系统中的一个重要系统。
- Finally, the L2-disturbance attenuation control of port-controlled time-delay Hamiltonian systems are discussed. 最后讨论了受控时滞哈密顿系统的L2干扰抑制控制问题。
- Secondly,some notions and conceptions are given for the L2-gain problem of time-delay Hamiltonian systems. 然后针对时滞哈密顿系统提出了L2增益问题,并扩展了拉萨尔不变集原理。
- Based on the basic equations of elasticity,the theory of Hamiltonian systems in elasticity is achieved. 从弹性力学基本方程出发,给出了弹性力学中哈密顿体系理论。
- 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。
- This work gives a description of the quantum state of Hamiltonian system by coherent state in theoretical formalism. 从理论形式上给出了哈密顿系统状态的相干态表示。
- The associated soli-ton hierarchy is decomposed into two new compatible Hamiltonian systems of ordinary differential equations. 进而把相应的孤子方程分解为两个新的相容的有限维哈密顿系统。
- In thisarticle, we study a kind of sublinear second-order Hamiltonian systems with elastic impactionand obtain infinite subharmonic solutions. 本文讨论了一类带有碰撞的次线性哈密顿系统,得到了无穷多次调和解的存在性。
- The third part is to proof theimpaction set is finite.Comparing Hamiltonian systems without impacts, we should use a technical codition. 相对于没有碰撞的哈密顿系统而言,我们为了证明碰撞点集是有限集而加入了一些技术性条件。
- At last symplectic schemes of Hamiltonian system for nonlinear Schrodinger equation have been extended to higher dimension. 最后,把非线性Schr(?) dinger方程的辛格式推广到了高维,并给出了一种特殊的非线性Schr(?)
- We also dicuss solvability of the systems satisfying other boundary conditions.Our results extend some known conclusions about second order Hamiltonian systems. 同时还提出了方程满足其它边值条件的可解性.;从而推广了前人关于低阶情况的结论
- By using critical point theory,we obtain some sufficient conditions for the existence of multiple periodic solutions to a discrete Hamiltonian system. 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.
- Under a constraint between the potential and the eigenfunctions, we obtain a class of new finite-dimensional Hamiltonian systems through nonlinearization of Lax pairs. 本文利用位势和特征函数间的约束,将拉克斯对非线性化,导出了一类新的有限维可积系统。
- Hamiltonian system is one of important system in dynamics because all earthy physical course without any loss of energy must be classified in Hamiltonian system. 哈密尔顿体系是动力学系统的重要体系,一切真实的、耗散可忽略不计的物理过程都可以表示成哈密尔顿体系。
- Some symplectic difference schemes for a quantum system were constructed in terms of thesymplectic difference schemes of nonautonomous Hamiltonian system. 根据非自治哈密顿系统的辛差分格式,构造了适用于一个哈密顿显含时间的模型量子系统的辛差分格式。
- Based on the dual variables,the Hamiltonian system theory is introduced into plane orthotropy elasticity,the transformation from Euclidian space to symplectic space is realized. 通过引入对偶变量,将平面正交各向异性问题导入哈密顿体系,实现从欧几里德几何空间向辛几何空间的转换。
- What is the ending in the singular? 这个词的单数词尾是怎样的?