Master 2 (Mathématiques)http://depot.umc.edu.dz/handle/123456789/92082026-06-02T16:32:53Z2026-06-02T16:32:53ZAnalyse de la stabilité et diagnostic du chaos dans les systèmes dynamiques discrets avec applications.BENTOUIL AsmaBENKHELIFA HadilZERIMECHE Hadjerhttp://depot.umc.edu.dz/handle/123456789/146152025-05-04T11:57:01Z2024-01-01T00:00:00ZAnalyse de la stabilité et diagnostic du chaos dans les systèmes dynamiques discrets avec applications.
BENTOUIL Asma; BENKHELIFA Hadil; ZERIMECHE Hadjer
The objective of this work is to study discrete dynamical systems, introducing fundamental concepts such as stability, bifurcation, and chaos. We will then apply these concepts to a
discrete-time predator-prey system with a Holling type-II functional response and prey refuge.
Our study will analyze the stability and bifurcation of equilibrium points in this system. Finally, we will determine if this system exhibits chaotic behavior using Lyapunov exponents.
2024-01-01T00:00:00ZMéthode d’approximation pour quelques problèmes dépendants du tempsAzzi AïdaHayoun Rayenehttp://depot.umc.edu.dz/handle/123456789/146142025-04-30T14:49:36Z2024-01-01T00:00:00ZMéthode d’approximation pour quelques problèmes dépendants du temps
Azzi Aïda; Hayoun Rayene
This work provides insight into the application of the Galerkin method for solving
two boundary value problems. The first problem deals with bidimensional linear
Schrödinger parabolic partial differential equations, and the second concerns a onedimensional hyperbolic telegraph equation. The differential equations are reduced
to systems of algebraic equations.
This study demonstrates that the proposed method is a very effective and powerful tool for solving such problems numerically. At the end, the method was tested
on illustrative examples given in Maple for each problem.
2024-01-01T00:00:00ZÉtude Qualitative de quelques Problèmes à Valeurs Initiales pour des Equations Différentielles d’ordre FractionnaireMessaoudi MiladFerhat Takouahttp://depot.umc.edu.dz/handle/123456789/146132025-04-30T14:25:58Z2022-01-01T00:00:00ZÉtude Qualitative de quelques Problèmes à Valeurs Initiales pour des Equations Différentielles d’ordre Fractionnaire
Messaoudi Milad; Ferhat Takoua
The present work is basically devoted to study the existence and uniqueness of solutions
for certain classes of nonlinear fractional differential equations with initial conditions via
the ψ−Caputo fractional derivative with order α ∈ (0;1). To achieve these goals, we first
transform our main problems into an equivalent fractional integral equation. After that, based
on some fixed point theorems namely, Banach’s fixed point theorem combined with the ψ-
fractional Bielecki norm, Schauder’s fixed point theorem, and Krasnoselskii’s fixed point
theorem, the existence, and uniqueness of solutions to the proposed problems are discussed
theoretically. Furthermore, examples are presented to illustrate our theoretical findings.
2022-01-01T00:00:00ZLa distribution Exponentielle-Gamma (3,θ) et ses applicationsZIGHEM ChanezGHESMOUNE SafaBENFERDI Chaimahttp://depot.umc.edu.dz/handle/123456789/146122025-04-30T14:11:46Z2023-01-01T00:00:00ZLa distribution Exponentielle-Gamma (3,θ) et ses applications
ZIGHEM Chanez; GHESMOUNE Safa; BENFERDI Chaima
Statistical distributions are widely applied to describe di§erent real world phenomena. As a result of the usefulness of statistical distributions, many researchers have
studied their theory extensively and new distributions are developed. The quest for
developing more e¢ cient and áexible probability distribution still remain strong in
the Öeld of probability theory and statistics.
In this memoir, we introduce a probability distribution called ExponentialGamma distribution (3; ) and derive appropriate expressions for its statistical
properties.
2023-01-01T00:00:00Z