A note on:: Relaxation oscillators with exact limit cycles

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:324

Article

Gine, Jaume ; Grau, Maite

关键词: planar polynomial differential system;    limit cycle;    hyperbolicity;    Lienard differential equation;   

DOI  :  10.1016/j.jmaa.2005.11.022

来源: Elsevier

【 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 [M.A. Abdelkader, Relaxation oscillators with exact limit cycles, J. Math. Anal. Appl. 218 (1998) 308-312]. The result given in this note may be used to construct models of Lienard differential equations exhibiting a desired limit cycle. (c) 2005 Elsevier Inc. All rights reserved.

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