1) Smallconstant periodic
小范围周期解
3) large-scale periodic motion
大范围周期运动
4) minimal periodic solutions
极小周期解
1.
By using the critical point theory,the paper gives the results of the existence of the minimal periodic solutions of the symmetrical autonomous natural Hamiltonian systems with the condition that the potential function is one order differentiable.
利用临界点理论，对一类对称自然Ｈａｍｉｌｔｏｎ系统在位势函数为一阶可微等条件下，给出极小周期解存在的结果。
2.
Using the Nehari argument about the constrained extreme values and the theorem that the functional defined on complete Finsler manifold and satisfying the Palais-Smale condition and having lower bound has a minimal value point,we study the existence of the minimal periodic solutions for nonconvex quadratic and superquadratic second order Hamiltonian systems.
利用关于约束板值的Nehari技巧和完备Finsler流形上满足Palais-Smale条件的下有界连续可微泛函存在极小值点的定理,研究了非凸二次和超二次二阶Hamilton系统的极小周期解的存在性。
5) minimal periodic solution
极小周期解
1.
The existence of the minimal periodic solutions to two classes of the nonconvex subquadratic autonomous second order Hamiltonian systems is studied on the basis of the Rabinowitz s saddle point theorem and the Morse index estimation of its critical points.
利用 Rabinowitz鞍点定理及其临界点的Morse指标估计研究了二类非凸次二次二阶自治Hamilton系统的极小周期解的存在性。
2.
In this paper,by comparing the Morse indexes of the critical points corresponding to the minimal value and the trivial value of the variational function,the existence of the minimal periodic solutions for a class of nonconvex autonomous second order Hamiltonian systems are discussed.
本文通过比较泛函的极小临界点和平凡临界点的Ｍｏｒｓｅ指标，得到一个关于非凸自治二阶Ｈａｍｉｌｔｏｎ系统非常值极小周期解的存在性定理。
6) Solution with Minimal Period
最小周期解
补充资料：庞加莱周期解
见周期解理论。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条