ON MATHIEU EQUATION WITH DAMPING

被引：12

作者：

HSIEH, DY

机构：

[1] Division of Applied Mathematics, Brown University, Providence

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 04期

关键词：

D O I：

10.1063/1.524492

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A direct variational method is applied to the linear and nonlinear Mathieu equation with damping. It is found that the nature of the periodic solutions and the characteristic curves are modified due to the presence of the damping. A threshold value β is required to overcome the damping for the existence of the periodic solutions. Stability analyses for the periodic solutions are also carried out. © 1980 American Institute of Physics.

引用

页码：722 / 725

页数：4

共 3 条

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BENJAMIN, TB ;

URSELL, F .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 225 (1163) :505-515

[2] VARIATIONAL METHOD AND MATHIEU EQUATION [J].

HSIEH, DY .

JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (05) :1147-1151

[3] VARIATIONAL METHODS AND NONLINEAR FORCED-OSCILLATIONS [J].

HSIEH, DY .

JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (02) :275-280

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