ESTIMATE FOR THE NUMBER OF PERTURBED ULTRASUBHARMONICS OF A SYSTEM WITH ONE AND A HALF DEGREES OF FREEDOM CLOSE TO A HAMILTONIAN SYSTEM

被引：1

作者：

Vakal, Yu. E. ^{[1
]}

Parasyuk, I. O. ^{[1
]}

机构：

[1] Shevchenko Kyiv Natl Univ, Kiev, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2011年 / 14卷 / 02期

关键词：

EXISTENCE;

D O I：

10.1007/s11072-011-0149-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a two-dimensional autonomous Hamiltonian system with heteroclinic contour under the action of a time-periodic perturbation. It is shown that the number of ultrasubharmonics in the perturbed system is estimated from below by a function proportional to the square of the logarithm of the perturbation parameter when this parameter tends to zero.

引用

页码：149 / 186

页数：38

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