Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Rachid, Cheurfa"'
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 50, Pp 1-13 (2023)
In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle. For that class, we draw the possib
Externí odkaz:
https://doaj.org/article/726f36ad492e4edaa579797212434a52
Autor:
Ahmed Bendjeddou, Rachid Cheurfa
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 71,, Pp 1-7 (2017)
In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitly given was presented. As an improvement, we obtain by a new method a
Externí odkaz:
https://doaj.org/article/7409457303af4a41ad14554a9328bcf1
Autor:
Ahmed Bendjeddou, Rachid Cheurfa
Publikováno v:
Electronic Journal of Differential Equations, Vol 2011, Iss 15,, Pp 1-12 (2011)
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that are ovals of algebraic real curves of degree four. The result obtained for the cubic case generalizes a proposition of [9]. For the quartic case, we de
Externí odkaz:
https://doaj.org/article/624468e14346466e96e2bfa7f56da578
Publikováno v:
2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI).
In this paper, we prove that a class of differential system of degree nine is Liouville integrable by transforming it into a Bernoulli differential equation and we determine exactly its first integral. This allows us to show that this class admits an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07abb39854c1c7788aae24ab1b54e0a9
https://doi.org/10.1109/icrami52622.2021.9585936
https://doi.org/10.1109/icrami52622.2021.9585936
Publikováno v:
2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI).
In this paper, we introduce a class of quartic differential system from the integrability and the existence of limit cycle. We show that this class is integrable and we give the explicit expression of first integral. After this, we prove, under suita
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af9fa36cda3553aa379b61287b7ac5e4
https://doi.org/10.1109/icrami52622.2021.9585912
https://doi.org/10.1109/icrami52622.2021.9585912
Publikováno v:
International Journal of Dynamical Systems and Differential Equations. 10:249
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.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a865b4cde0b13e9948399833185279c
https://doi.org/10.1504/ijdsde.2020.107809
https://doi.org/10.1504/ijdsde.2020.107809
Publikováno v:
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică; 2018, Issue 2, p253-259, 7p
Publikováno v:
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică; 2018, Vol. 64 Issue 2, p253-259, 7p