Multiple Forced Rotational Solutions for the Planar N-pendulum Equation
Multiple Forced Rotational Solutions for the Planar N-pendulum Equation
复制标题
平面N摆方程的多重受迫旋转解
DOI：
10.1007/s10114-017-7037-y
复制
发表时间：
2018
影响因子：
0.7
通讯作者：
Qiao Hui
中科院分区：
文献类型：
--
作者：
Qiao Hui
本文给出了平面强迫n摆方程中任意给定零分量旋转矢量的不可收缩周期轨道的存在性定理，其中en0表示给定旋转矢量的零分量个数。我们对质量和长度做了特殊的安排，而不是非简并假设。此外，对于具有相同分量的旋转矢量，也得到了类似的结果。
This paper presents a theorem of existence ofnoncontractible periodic orbits of any given rotational vector with zero components for the planar forcedN-pendulum equation, whereN0denotes the number of zero components of given rotational vector. We make special arrangements for masses and length instead of the nondegenerate assumption. Moreover, for rotational vectors with identical components, similar results is also obtained.