Asymptotic solution to the generalized Duffing equation for disturbed oscillator in stochastic resonance

被引：1
|
作者：
Han Xiang-Lin [1 ]
Lin Wan-Tao [2 ]
Xu Yong-Hong [3 ]
Mo Jia-Qi [4 ]
机构：
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
[2] Chinese Acad Sci, Inst Atmospher Phys, State Key Lab Numer Modeling Atmospher Sci & Geop, Beijing 100029, Peoples R China
[3] Bengbu Coll, Dept Math & Phys, Bengbu 233030, Peoples R China
[4] Anhui Normal Univ, Dept Math, Wuhu 241003, Peoples R China
来源：
ACTA PHYSICA SINICA | 2014年 / 63卷 / 17期
基金：
中国国家自然科学基金;
关键词：
disturbed oscillator; resonance mechanism; asymptotic solution; BROWNIAN-MOTION;
D O I：
10.7498/aps.63.170204
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A class of nonlinear generalized Duffing equation for disturbed oscillator is considered. Firstly, the typical Duffing equation is solved. Then approximate solutions to the nonlinear Duffing equation for disturbed oscillators in stochastic resonance is obtained using the generalized functional variation principle, and the uniform validity is proved.
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页数：5
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