Publications internationales
2021
Mohamed Amine Kerker, Elbahi Hadidi & Abdelouahab Salmi. (2021), On the dynamics of a nonautonomous rational difference equation. International Journal of Nonlinear Analysis and Applications : Semnan University, https://ijnaa.semnan.ac.ir/article_4760.html
AHLEM ROUBACHE and ELBAHI HADIDI. (2021), Zero-Hopf bifurcation of periodic orbits in the generalized Rössler sysem. MATHEMATICA : Editions de l’Academie Roumanie, http://math.ubbcluj.ro/~mathjour/accepted.html
Sana Karfes, Elbahi Hadidi, Mohamed Amine Kerker. (2021), On the maximum number of limit cycles of a planar differential system. International Journal of Nonlinear Analysis and Applications : Semnan University,
2020
Mohamed Amine Kerker, Elbahi Hadidi & Abdelouahab Salmi. (2020), Qualitative behavior of a higher-order nonautonomous rational difference equation. Journal of Applied Mathematics and Computinghttps://link.springer.com/article/10.1007/s12190-020-01360-5
2013
Elbahi Hadidi. (2013), Bifurcation of limit cycle for three dimensional Lotka Volterra dynamical system.. Applied Mathematical Sciences
2011
Mohamed Haiour, Elbahi Hadidi . (2011), Uniform convergence of Schwarz methode for noncoercive variational inequalities simple proof. The Australian Journal of Mathematical Analysis and Applications
2010
Mohamed Haiour, Elbahi Hadidi . (2010), Uniform convergence of Schwarz method for variational inequalities. Applied Mathematical Sciences
2009
Mohamed Haiour, Elbahi Hadidi . (2009), Uniform convergence of Schwarz method for noncoercive variational inequalities. Int. J. Contemp. Math. Sciences
Publications nationales
2023
Sana Karfes, Elbahi Hadidi. (2023), Periodic solutions of a differential perturbed system via the averaging theory and the Melnikov method. Journal of Innovative Applied Mathematics and Computational Sciences : Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila, Algeria.,
Résumé: In this paper, we will study the maximum number of limit cycles of a perturbed differential system with respect to its parameters which appear in the system specially on the degree of the polynomials. For this we will use two methods namely the averaging theory of first order and the method of Melnikov on the same system to provide an upper bound for the number of periodic solutions which can bifurcate from the center with ε = 0. In the end, we will present some numerical examples in order to illustrate the theoretical results given by the averaging theory and Melnikov one.