A note on "Relaxation Oscillators with Exact Limit Cycles"
动力系统
2017-05-18 v1
摘要
In this note we give a family of planar polynomial differential systems with a prescribed hyperbolic limit cycle. This family constitutes a corrected and wider version of an example given in the work of M.A. Abdelkader entitled ``Relaxation Oscillators with Exact Limit Cycles'', which appeared in J. Math. Anal. Appl. 218 (1998), 308--312. The result given in this note may be used to construct models of Li\'enard differential equations exhibiting a desired limit cycle.
引用
@article{arxiv.math/0506308,
title = {A note on "Relaxation Oscillators with Exact Limit Cycles"},
author = {Jaume Giné and Maite Grau},
journal= {arXiv preprint arXiv:math/0506308},
year = {2017}
}
备注
8 pages, no figures