Explicit limit cycles of a cubic polynomial differential systems

Authors

  • Ahmed BENDJEDDOU Department of Mathematics Faculty of Sciences University of Setif 19000 Setif, Algeria e-mail: bendjeddou@univ-setif.dz
  • Rachid BOUKOUCHA Department of Technology Faculty of Technology University of Bejaia 06000 Bejaia, Algeria e-mail: rachid_boukecha@yahoo.fr https://orcid.org/0000-0002-1795-2935

Keywords:

Planar polynomial differential system, algebraic limit cycle, non-algebraic limit cycle.

Abstract

In this paper, we determine sufficient conditions for a cubic polynomial differential system to possess an algebraic, non-algebraic limit cycles, explicitly given. Concrete examples exhibiting the applicability of our result is introduced.

Mathematics Subject Classification (2010): 34A05, 34C05, 34CO7, 34C25.

References

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Perko, L., Differential equations and dynamical systems, Third Edition, Texts in Applied Mathematics, 7, Springer-Verlag, New York, 2001.

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Published

2016-03-30

How to Cite

BENDJEDDOU , A., & BOUKOUCHA, R. (2016). Explicit limit cycles of a cubic polynomial differential systems. Studia Universitatis Babeș-Bolyai Mathematica, 61(1), 77–85. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5518

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