Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Ahmed Bendjeddou"'
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
Publikováno v:
Mathematica Bohemica, Vol 146, Iss 2, Pp 151-165 (2021)
We consider limit cycles of a class of polynomial differential systems of the form \begin{cases} \dot{x}=y, \dot{y}=-x-\varepsilon(g_{21}( x) y^{2\alpha+1} +f_{21}(x) y^{2\beta})-\varepsilon^2(g_{22}( x) y^{2\alpha+1}+f_{22}( x) y^{2\beta}), \end{cas
Externí odkaz:
https://doaj.org/article/3b677d543f87443ea1b49cb7818f5ea0
Autor:
Salah Benyoucef, Ahmed Bendjeddou
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 1, Iss 3, Pp 148-154 (2018)
A class of Kolmogorov differential system is introduced. It is shown that under suitable assumptions on degrees and parameters, algebraic limit cycles can occur. we propose an easy algorithm to test the existence of limit cycles and we give them expl
Externí odkaz:
https://doaj.org/article/4f2ba655e9304a7bb25bd648bfe46dfb
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 Boukoucha
Publikováno v:
International Journal of Advances in Applied Mathematics and Mechanics, Vol 3, Iss 1, Pp 110-115 (2015)
Externí odkaz:
https://doaj.org/article/fa00bbd46f5f4d3c8bb1e3ec638f487a
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:
Tatra Mountains Mathematical Publications. 79:33-46
The problems of existence of limit cycles and their numbers are the most difficult problems in the dynamical planar systems. In this paper, we study the limit cycles for a family of polynomial differential systems of degree 6k + 1, k ∈ ℕ*, with t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85262d92ad470c4cbd4dcf23f8123013
https://doi.org/10.2478/tmmp-2021-0018
https://doi.org/10.2478/tmmp-2021-0018
Publikováno v:
Novi Sad Journal of Mathematics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1e4dca7ca8a3138a3de544d4efe931c
https://doi.org/10.30755/nsjom.13397
https://doi.org/10.30755/nsjom.13397
Publikováno v:
Studia Universitatis Babes-Bolyai Matematica. 65:403-410
Up until now all the polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree odd. Here we show that already that there are polynomial systems of degree even has an explicit limit cycle which is not algebr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d5978584f58cc0f54d3ba83cab549b0
https://doi.org/10.24193/subbmath.2020.3.08
https://doi.org/10.24193/subbmath.2020.3.08