arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math-ph/0703084math-phmath.DSmath.MP
收藏

准周期受迫摆须的构造

Construction of Whiskers for the Quasiperiodically Forced Pendulum

Mikko Stenlund

摘要:

本文研究了一个描述多个各向异性振子耦合的单摆的哈密顿量,给出了一个简单的不稳定KAM环面的构造及其在解析扰动下的稳定和不稳定流形。我们延长解析解的运动方程,顺序的扰动参数,时间轴的一个统一的邻域。

英文摘要:

We study a Hamiltonian describing a pendulum coupled with several anisochronous oscillators, giving a simple construction of unstable KAM tori and their stable and unstable manifolds for analytic perturbations. We extend analytically the solutions of the equations of motion, order by order in the perturbation parameter, to a uniform neighbourhood of the time axis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑