A perturbation-incremental method for the calculation of semi-stable limit cycles of strongly non-linear oscillators
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 301-313 |
| Journal / Publication | Communications in Numerical Methods in Engineering |
| Volume | 16 |
| Issue number | 5 |
| Publication status | Published - 2000 |
Link(s)
Abstract
The semi-stable limit cycle and bifurcation of strongly non-linear oscillators of the form ẍ + g(x) = λf(x, ẋ, μ)ẋ is studied by the perturbation-incremental method. Firstly, the ordinary differential equation is transformed into an integral equation by a non-linear time transformation, then the initial solution for λ ≈ 0 is obtained by using the perturbation method. Secondly, the solution for an arbitrary value of λ can be determined by using the incremental approach. Two examples are given to show the efficiency and accuracy of the present method. Copyright © 2000 John Wiley & Sons, Ltd.
Research Area(s)
- Perturbation-incremental method, Semi-stable limit cycles, Strongly non-linear oscillators
Citation Format(s)
A perturbation-incremental method for the calculation of semi-stable limit cycles of strongly non-linear oscillators. / Chen, S. H.; Chan, J. K H; Leung, A. Y T.
In: Communications in Numerical Methods in Engineering, Vol. 16, No. 5, 2000, p. 301-313.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
