𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limit cycle analysis of a class of strongly nonlinear oscillation equations

✍ Scribed by Zong-Chun Qiao; Shi-Qiang Dai

Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
509 KB
Volume
10
Category
Article
ISSN
0924-090X

No coin nor oath required. For personal study only.

✦ Synopsis

The limit cycle of a class of strongly nonlinear oscillation equations of the form/2 + g(u) = ef (u, iz) is investigated by means of a modified version of the KBM method, where e is a positive small parameter. The advantage of our method is its straightforwardness and effectiveness, which is suitable for the above equation, where g(u) need not be restricted to an odd function of u, provided that the reduced equation, corresponding to e = 0, has a periodic solution. A specific example is presented to demonstrate the validity and accuracy of our method by comparing our results with numerical ones, which are in good agreement with each other even for relatively large e.

πŸ“œ SIMILAR VOLUMES

Separatrices and limit cycles of strongl
Separatrices and limit cycles of strongly nonlinear oscillators by the perturbation-incremental method
✍ Z. Xu; H. S. Y. Chan; K. W. Chung πŸ“‚ Article πŸ“… 1996 πŸ› Springer Netherlands 🌐 English βš– 841 KB

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 c