A note on "Relaxation Oscillators with Exact Limit Cycles"
arXiv:math/0506308 · doi:10.1016/j.jmaa.2005.11.022
Abstract
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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