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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

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✦ 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.


📜 SIMILAR VOLUMES


A perturbation-incremental method for th
✍ Chen, S. H. ;Chan, J. K. H. ;Leung, A. Y. T. 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB 👁 2 views

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