Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators

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 ap...

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Bibliographic Details
Main Authors: Yang-Yang Chen, Shu-Hui Chen, Wei-Wei Wang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2016/9471423