STABILITY ANALYSIS OF THE NONLINEAR MATHIEU EQUATION

被引：42
作者：
MOND, M
CEDERBAUM, G
KHAN, PB
ZARMI, Y
机构：
[1] SUNY STONY BROOK,DEPT PHYS,STONY BROOK,NY 11794
[2] BEN GURION UNIV NEGEV,JACOB BLAUSTEIN INST DESERT RES,CTR ENERGY & ENVIRONM PHYS,IL-84993 SEDE BOQER,ISRAEL
来源：
JOURNAL OF SOUND AND VIBRATION | 1993年 / 167卷 / 01期
关键词：
D O I：
10.1006/jsvi.1993.1322
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The non-linear Mathieu equation is analyzed within the framework of the method of normal forms. Analytical conditions for explosive instability are obtained, and expressions for the period as well as the amplitude of the stable response are derived. © 1993 Academic Press Limited.
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页码：77 / 89
页数：13
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