A novel construction of homoclinic and heteroclinic orbits in nonlinear oscillators by a perturbation-incremental method
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 221-236 |
| Journal / Publication | Nonlinear Dynamics |
| Volume | 64 |
| Issue number | 3 |
| Publication status | Published - May 2011 |
Link(s)
Abstract
A novel construction of homoclinic/heteroclinic orbits (HOs) in nonlinear oscillators is presented in this paper. An accurate analytical solution of a HO for small perturbation can be obtained in terms of trigonometric functions. An advantage of the present construction is that it gives an accurate approximate solution of a HO for large parametric value in relatively few harmonic terms while other analytical methods such as the Lindstedt-Poincaré method and the multiple scales method fail to do so. © 2011 Springer Science+Business Media B.V.
Research Area(s)
- Heteroclinic orbit, Homoclinic orbit, Perturbation-incremental method, Strongly nonlinear oscillator
Citation Format(s)
A novel construction of homoclinic and heteroclinic orbits in nonlinear oscillators by a perturbation-incremental method. / Cao, Y. Y.; Chung, K. W.; Xu, J.
In: Nonlinear Dynamics, Vol. 64, No. 3, 05.2011, p. 221-236.
In: Nonlinear Dynamics, Vol. 64, No. 3, 05.2011, p. 221-236.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
