Coexistence of three limit cycles for a septic polynomial differential systems

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Titre:	Coexistence of three limit cycles for a septic polynomial differential systems
Auteur(s):	Grazem, Mohamed Bendjeddou, Ahmed Cheurfa, Rachid
Mots-clés:	Algebraic and non-algebraic limit cycle First integral Periodic orbits Planar polynomial differential system
Date de publication:	2020
Editeur:	Inderscience Publishers
Collection/Numéro:	International Journal of Dynamical Systems and Differential Equations Volume 10, Issue 3, 2020;pp. 249-267
Résumé:	The existence of limit cycles is interesting and very important in applications. It is a key to understand the dynamic of polynomial differential systems. The aim of this paper is to investigate a class of planar differential systems of degree seven. Under some suitable conditions, the existence of three limit cycles two of them are non-algebraic while the third is algebraic is proved. Furthermore, these limit cycles are explicitly given in polar coordinates. Some examples are presented in order to illustrate the applicability of our results. © 2020 Inderscience Enterprises Ltd.. All rights reserved
URI/URL:	https://www.scopus.com/record/display.uri?eid=2-s2.0-85086987170&origin=SingleRecordEmailAlert&dgcid=raven_sc_affil_en_us_email&txGid=d04ebf8cfcf52de25d3fa8a0394cfd87 http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/6193
ISSN:	17523583
Collection(s) :	Publications Internationales

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