Secondly, the model of the generalized Hamiltonian systems is proposed, which consists of externally supplied energy, dissipation and internal energy source.
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。
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.
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。
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.
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。
The stability of Hamiltonian systems with time delay was investigated.
研究了带有时滞的哈密顿系统的稳定性问题。
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.
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。
The perturbation problem of symmetries for constrained Hamiltonian systems under the action of small excitation is studied.
研究小干扰力作用下约束哈密顿系统对称性的摄动问题。