1) bounded minimax periodic orbit
限制的极小极大周期轨
2) periodic point with minimam orbit
极小周期轨道
3) limit cycle
极限周期，极限环
4) maximum and minimun
极大限与极小限
5) 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。
6) 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。
补充资料：极大算子和极小算子
极大算子和极小算子
maximal and mnmnal operators
极大算子和极小算子脚.劝加目邵目，汕面司啊呷rators;MaKC班Ma“比戚班M”n皿Ma几I.H丽姐epaT仰址] 由在具有紧支集的函数子空间上给定的微分表示式定义的算子的极大扩张和极小扩张(m助面旧1肚记mj刘h坦1 exte留ions).极大算子和极小算子的定义域可以分为许多情形具体描述，例如，对常微分算子、对椭圆算子、对常系数微分算子.
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参考词条