Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators

被引：0
|
作者：
Chen, Yang-Yang [1 ]
Chen, Shu-Hui [2 ]
Wang, Wei-Wei [2 ]
机构：
[1] Guangzhou Univ, Key Lab Vibrat Control & Struct Safety, Guangzhou 510405, Guangdong, Peoples R China
[2] Sun Yat Sen Univ, Dept Appl Mech & Engn, Guangzhou 510275, Guangdong, Peoples R China
来源：
SHOCK AND VIBRATION | 2016年 / 2016卷
关键词：
NONLINEAR OSCILLATORS; LIMIT-CYCLES; PERTURBATION; BIFURCATIONS; CHAOS;
D O I：
10.1155/2016/9471423
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The exact and explicit homoclinic solution of the undamped Helmholtz-Duffing oscillator is derived by a presented hyperbolic function balance procedure. The homoclinic solution of the self-excited Helmholtz-Duffing oscillator can also be obtained by an extended hyperbolic perturbation method. The application of the present homoclinic solutions to the chaos prediction of the nonautonomous Helmholtz-Duffing oscillator is performed. Effectiveness and advantage of the present solutions are shown by comparisons.
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页数：10
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