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...
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 |
Similar Items
-
Homoclinic bifurcation and saddle connections for Duffing type oscillators
by: Davenport, N. M.
Published: (1987) -
Homoclinic Bifurcation in a parametrically driven nonlinearly damped Duffing-vander Pol oscillator
by: M. V. Sethu Meenakshi, et al.
Published: (2018-09-01) -
Efficient Solution of Nonlinear Duffing Oscillator
by: Iman Khatami, et al.
Published: (2020-04-01) -
Analytical solution of strongly nonlinear Duffing oscillators
by: A.M. El-Naggar, et al.
Published: (2016-06-01) -
Decomposition solution for Duffing and Van der Pol oscillators
by: G. Adomian
Published: (1986-01-01)