Separatrices and limit cycles of strongly nonlinear oscillators by the 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) | 213-233 |
| Journal / Publication | Nonlinear Dynamics |
| Volume | 11 |
| Issue number | 3 |
| Publication status | Published - 1996 |
Link(s)
Abstract
The perturbation-incremental method is applied to determine the separatrices and limit cycles of strongly nonlinear oscillators. Conditions are derived under which a limit cycle is created or destroyed. The latter case may give rise to a homoclinic orbit or a pair of heteroclinic orbits. The limit cycles and the separatrices can be calculated to any desired degree of accuracy. Stability and bifurcations of limit cycles will also be discussed. © 1996 Kluwer Academic Publishers.
Research Area(s)
- Global bifurcation, Homoclinic (heteroclinic) orbits, Limit cycles, Strongly nonlinear oscillators
Citation Format(s)
Separatrices and limit cycles of strongly nonlinear oscillators by the perturbation-incremental method. / Xu, Z.; Chan, H. S Y; Chung, K. W.
In: Nonlinear Dynamics, Vol. 11, No. 3, 1996, p. 213-233.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
