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On the exact limit cycle for some class of planar differential systems

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

Abstract.

Inspired by a recent paper of Giacomini et al [3], we give the exact expression of the limit cycles for a class of two-dimensional differential sytems. We study also the uniqueness of such limit cycles. An application to Liénard equation and several examples are given at the end.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, Faculté des Sciences, Université de Sétif, 19 000, Sétif, Algérie

    A. Bendjeddou

  2. Laboratoire de Mathématiques, Fondamentales et Numériques, Faculté des Sciences, Université de Sétif, 19 000, Sétif, Algérie

    R. Cheurfa

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  1. A. Bendjeddou
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  2. R. Cheurfa
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Bendjeddou, A., Cheurfa, R. On the exact limit cycle for some class of planar differential systems. Nonlinear differ. equ. appl. 14, 491–498 (2007). https://doi.org/10.1007/s00030-007-4005-8

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  • DOI: https://doi.org/10.1007/s00030-007-4005-8

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