The semi-stable limit cycle and bifurcation of strongly non-linear oscillators of the form xK #g(x)" f (x, xR , )xR is studied by the perturbation-incremental method. Firstly, the ordinary di!erential equation is transformed into an integral equation by a non-linear time transformation, then the ini
✦ LIBER ✦
STABILITY AND BIFURCATIONS OF LIMIT CYCLES BY THE PERTURBATION–INCREMENTAL METHOD
✍ Scribed by H.S.Y. Chan; K.W. Chung; Z. Xu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 243 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
The perturbation-incremental method is applied to the study of stability bifurcations of limit cycles and homoclinic (heteroclinic) bifurcations of strongly non-linear oscillators. The bifurcation parameters can be determined to any desired degree of accuracy.
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