Buffer phenomenon in systems close to two-dimensional Hamiltonian ones

被引：0

作者：

Kolesov A.Yu. ^{[1
]}

Mishchenko E.F. ^{[2
]}

Rozov N.Kh. ^{[3
]}

机构：

[1] Yaroslavl State University, Yaroslavl, 150000

[2] Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, 117333

[3] Moscow State University, Vorob'evy gory, Moscow

来源：

Proceedings of the Steklov Institute of Mathematics | 2006年 / 253卷 / Suppl 1期

基金：

俄罗斯基础研究基金会;

关键词：

Periodic Solution; STEKLOV Institute; Simple Zero; Partial Limit; Stable Periodic Solution;

D O I：

10.1134/S0081543806050105

中图分类号：

学科分类号：

摘要：

Plane Hamiltonian systems perturbed by small time-periodic terms are considered. The conditions are established under which exponentially stable periodic solutions are accumulated infinitely in these systems as the perturbations tend to zero or, in other words, the buffer phenomenon occurs. It is shown that this phenomenon is typical for a wide range of classical mechanical problems described by equations of the pendulum type. © Pleiades Publishing, Inc., 2006.

引用

页码：S117 / S150

页数：33

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