A note on: "Relaxation oscillators with exact limit cycles"

  • Giné J
  • Grau M
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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 Liénard differential equations exhibiting a desired limit cycle. © 2005 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Hyperbolicity
  • Limit cycle
  • Liénard differential equation
  • Planar polynomial differential system

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