Appearance of New Parametric Resonances in Time-Dependent Harmonic Oscillator

被引：2
|
作者：
Nesterov, Pavel [1 ]
机构：
[1] Yaroslavl State Univ, Dept Math, Yaroslavl 150000, Russia
来源：
RESULTS IN MATHEMATICS | 2013年 / 64卷 / 3-4期
关键词：
Parametric resonance; harmonic oscillator; adiabatic oscillator; oscillatory decreasing perturbation; method of averaging; asymptotic integration; ASYMPTOTIC INTEGRATION; DECREASING COEFFICIENTS; SYSTEMS;
D O I：
10.1007/s00025-013-0311-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish that in time-dependent harmonic oscillator under an oscillatory decreasing perturbation the parametric resonances, which do not exist in an ordinary harmonic oscillator under the same perturbation, may occur.
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页码：229 / 251
页数：23
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