Invariant curves and time-dependent potentials
Invariant curves and time-dependent potentials
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DOI：
10.1017/s0143385700006192
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发表时间：
1991-06
影响因子：
0.9
通讯作者：
Stephane Laederich;M. Lev
中科院分区：
文献类型：
--
作者：
Stephane Laederich;M. Lev
本文证明了一类具有含时势的Hamilton系统，即具有周期系数的超二次多项式势的系统，存在不变曲线，从而始终稳定。作为一个极限情况下，一个粒子之间的两个周期运动的墙壁之间的反弹乌拉姆的问题的稳定性的证明。
Abstract In this paper we prove the existence of invariant curves and thus stability for all time for a class of Hamiltonian systems with time-dependent potentials, namely, for systems of the form where is a superquadratic polynomial potential with periodic coefficients. As a limiting case, a proof of the stability of Ulam's problem of a particle bouncing between two periodicially moving walls is given.