arXiv math/05063082005-06-15math.DS

A note on "Relaxation Oscillators with Exact Limit Cycles"

Jaume Giné, Maite Grau

备注：: 8 pages, no figures
发表信息：: J. Math. Anal. Appl. 324 (2006), no. 1, 739--745
DOI：: 10.1016/j.jmaa.2005.11.022

英文摘要：

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 Liénard differential equations exhibiting a desired limit cycle.

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