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Stable Hyperbolic Limit Cycles for a Class of Differential Systems

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Abstract

In this paper, we introduce an explicit expression of invariant algebraic curves for a class of polynomial differential systems, then we introduce an explicit expression of its first integral. Moreover, we determine sufficient conditions for these systems to possess a limit cycle, which can be expressed by an explicit formula. Concrete examples exhibiting the applicability of our results are introduced.

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Authors and Affiliations

  1. Laboratory of Applied Mathematics, Department of Mathematics,Faculty of Exact Sciences, University of Bejaia, 06000, Bejaia, Algeria

    S. E. Hamizi & R. Boukoucha

Authors
  1. S. E. Hamizi
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  2. R. Boukoucha
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Corresponding authors

Correspondence to S. E. Hamizi or R. Boukoucha.

Additional information

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 9, pp. 49–60.

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Hamizi, S.E., Boukoucha, R. Stable Hyperbolic Limit Cycles for a Class of Differential Systems. Russ Math. 65, 41–51 (2021). https://doi.org/10.3103/S1066369X21090061

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  • DOI: https://doi.org/10.3103/S1066369X21090061

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