INVARIANT CURVES AND TIME-DEPENDENT POTENTIALS

被引：97
|
作者：
LAEDERICH, S [1 ]
LEVI, M [1 ]
机构：
[1] BOSTON UNIV,DEPT MATH,BOSTON,MA 02215
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1991年 / 11卷
关键词：
D O I：
10.1017/S0143385700006192
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 [GRAPHICS] where [GRAPHICS] 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.
引用
收藏
页码：365 / 378
页数：14
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