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Auteur Tayeb Hamaizia |
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Titre : Aspects chaotiques dans les systèmes dynamiques discrets. Type de document : texte imprimé Auteurs : Nabila Djafri, Auteur ; Tayeb Hamaizia, Directeur de thèse Mention d'édition : 05/04/2021 Editeur : جامعة الإخوة منتوري قسنطينة Année de publication : 2021 Importance : 79 f. Format : 30 cm. Note générale : 1 copies imprimées disponibles
Langues : Français (fre) Catégories : Français - Anglais
MathématiquesTags : Mathematiques:Mathématiques Appliquée SystËme 2D-chaotique rationnelle Nouveau Attracteurs chaotique Coexistence attracteurs 2-D rational chaotic map New-chaotic attractor Coexisting attractors
خريطة فوضوية كسرية ثنائية الابعاد جاذب فوضوي جديد جواذب متعايشةIndex. décimale : 510 Mathématiques Résumé :
A new modiÖed 2-D discrete chaotic system with rational fraction is introduced in this thesis ; it has more complicated dynamical structures than HÈnon map and Lozi map. Some dynamical behaviors, Öxed points, period-doubling bifurcation, the way to chaos, and Lyapunov exponents spectrum, are further investigated using both theoretical analysis and numerical simulation. In particular, the map under consideration is a simple rational discrete bounded map capable of generating ìmulti- foldîstrange attractors via period-doubling bifurcation ways to chaos. This new discrete chaotic system has extensive application in many Öelds, such as optimization and secure communication
Diplôme : Doctorat en sciences En ligne : ../theses/math/DJA7736.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=11569 Aspects chaotiques dans les systèmes dynamiques discrets. [texte imprimé] / Nabila Djafri, Auteur ; Tayeb Hamaizia, Directeur de thèse . - 05/04/2021 . - جامعة الإخوة منتوري قسنطينة, 2021 . - 79 f. ; 30 cm.
1 copies imprimées disponibles
Langues : Français (fre)
Catégories : Français - Anglais
MathématiquesTags : Mathematiques:Mathématiques Appliquée SystËme 2D-chaotique rationnelle Nouveau Attracteurs chaotique Coexistence attracteurs 2-D rational chaotic map New-chaotic attractor Coexisting attractors
خريطة فوضوية كسرية ثنائية الابعاد جاذب فوضوي جديد جواذب متعايشةIndex. décimale : 510 Mathématiques Résumé :
A new modiÖed 2-D discrete chaotic system with rational fraction is introduced in this thesis ; it has more complicated dynamical structures than HÈnon map and Lozi map. Some dynamical behaviors, Öxed points, period-doubling bifurcation, the way to chaos, and Lyapunov exponents spectrum, are further investigated using both theoretical analysis and numerical simulation. In particular, the map under consideration is a simple rational discrete bounded map capable of generating ìmulti- foldîstrange attractors via period-doubling bifurcation ways to chaos. This new discrete chaotic system has extensive application in many Öelds, such as optimization and secure communication
Diplôme : Doctorat en sciences En ligne : ../theses/math/DJA7736.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=11569 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité DJE/7736 DJE/7736 Thèse Bibliothèque principale Thèses Disponible Autour des méthodes spectrales pour la résolution des équations aux dérivées partielles. / Ahcene Lateli
Titre : Autour des méthodes spectrales pour la résolution des équations aux dérivées partielles. Type de document : texte imprimé Auteurs : Ahcene Lateli, Auteur ; Tayeb Hamaizia, Directeur de thèse ; Amor Boutagou, Directeur de thèse Mention d'édition : 27/01/2022 Editeur : جامعة الإخوة منتوري قسنطينة Année de publication : 2022 Importance : 98 f. Format : 30 cm. Note générale : 1 copies imprimées disponibles
Langues : Français (fre) Catégories : Français - Anglais
MathématiquesTags : Mathematiques: Analyse numérique Méthodes Spectrales Points de Collocation Polynômes Orthogonaux Formules de Quadrature Matrice Orthogonale Valeurs Propres Estimation d'Erreur Spectral Methods Collocation Points Orthogonal Polynomials Quadrature Formulas Orthogonal Matrix Eigenvalues Error Estimate الطرق الطيفية نقاط التجميع كثيرات حدود المتعامدة الصيغ التربيعية المصفوفات المتعامدة القيم الذاتية تقدير الخطأ Index. décimale : 510 Mathématiques Résumé :
This thesis consists of four distinct but complementary chapters. The first chapter contains, on the one hand, some to reminders on Sobolev spaces and polynomial spaces with their associated norms, which constitute the framework of the numerical analysis of spectral methods and, on the other hand, it devotes to the reminders on orthogonal polynomials without and with weights and their main properties, and introduces some associated transformations where orthogonal polynomials are widely used in approximation theory. The second chapter exposes in a clear and elegant the forms of Gaussian quadrature, Gauss-Lobatto quadrature formula and weighted formula and the study of some estimates. These quadrature formulas are considered to constriction of numerical quadrature formulas of high precision. In the third chapter is the study of the approximation of the differential problem by the spectral method, wich is a technique for approximating solutions of partial differential equations. Their main characteristics are that the discrete solutions are sought in high degree polynomial spaces. The discretization is then performed by replacing the space of test functions by a space of polynomials and by calculating the integrals by means of appropriate quadrature formulas. The quadrature formula used is the Gauss-Lobatto-Legendre formula applied in the x direction. This method is equivalent to a collocation method. We see that the error decreases exponentially when the discretization parameter N becomes large. The purpose of the fourth chapter is to develop a spectral method to solve the given problem using the matrixs; to convert the differential problem in a system of ordinary differential equations easier to solve or a linear system; to explain how the discrete problem identified in the Chapter Three can be implemented on computer; to study the behaviour of condition numbers; to solve the linear system and give a graphic illustration in the case of explicit and implicit solutions. Programming is done by Maple.Diplôme : Doctorat en sciences En ligne : ../theses/math/LAT7852.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=11837 Autour des méthodes spectrales pour la résolution des équations aux dérivées partielles. [texte imprimé] / Ahcene Lateli, Auteur ; Tayeb Hamaizia, Directeur de thèse ; Amor Boutagou, Directeur de thèse . - 27/01/2022 . - جامعة الإخوة منتوري قسنطينة, 2022 . - 98 f. ; 30 cm.
1 copies imprimées disponibles
Langues : Français (fre)
Catégories : Français - Anglais
MathématiquesTags : Mathematiques: Analyse numérique Méthodes Spectrales Points de Collocation Polynômes Orthogonaux Formules de Quadrature Matrice Orthogonale Valeurs Propres Estimation d'Erreur Spectral Methods Collocation Points Orthogonal Polynomials Quadrature Formulas Orthogonal Matrix Eigenvalues Error Estimate الطرق الطيفية نقاط التجميع كثيرات حدود المتعامدة الصيغ التربيعية المصفوفات المتعامدة القيم الذاتية تقدير الخطأ Index. décimale : 510 Mathématiques Résumé :
This thesis consists of four distinct but complementary chapters. The first chapter contains, on the one hand, some to reminders on Sobolev spaces and polynomial spaces with their associated norms, which constitute the framework of the numerical analysis of spectral methods and, on the other hand, it devotes to the reminders on orthogonal polynomials without and with weights and their main properties, and introduces some associated transformations where orthogonal polynomials are widely used in approximation theory. The second chapter exposes in a clear and elegant the forms of Gaussian quadrature, Gauss-Lobatto quadrature formula and weighted formula and the study of some estimates. These quadrature formulas are considered to constriction of numerical quadrature formulas of high precision. In the third chapter is the study of the approximation of the differential problem by the spectral method, wich is a technique for approximating solutions of partial differential equations. Their main characteristics are that the discrete solutions are sought in high degree polynomial spaces. The discretization is then performed by replacing the space of test functions by a space of polynomials and by calculating the integrals by means of appropriate quadrature formulas. The quadrature formula used is the Gauss-Lobatto-Legendre formula applied in the x direction. This method is equivalent to a collocation method. We see that the error decreases exponentially when the discretization parameter N becomes large. The purpose of the fourth chapter is to develop a spectral method to solve the given problem using the matrixs; to convert the differential problem in a system of ordinary differential equations easier to solve or a linear system; to explain how the discrete problem identified in the Chapter Three can be implemented on computer; to study the behaviour of condition numbers; to solve the linear system and give a graphic illustration in the case of explicit and implicit solutions. Programming is done by Maple.Diplôme : Doctorat en sciences En ligne : ../theses/math/LAT7852.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=11837 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité LAT/7852 LAT/7852 Thèse Bibliothèque principale Thèses Disponible
Titre : Groupe de torsion de courbe élliptique sur une extension quadratique de corps Q Type de document : texte imprimé Auteurs : Tayeb Hamaizia, Auteur ; Mohamed Zitouni, Directeur de thèse Editeur : Constantine : Université Mentouri Constantine Année de publication : 2006 Importance : 48 f. Note générale : 01 Disponible à la salle de recherche 02 Disponibles au magazin de la B.U.C. 01 CD Langues : Français (fre) Catégories : Français - Anglais
MathématiquesTags : Torsion Groupe Courbe elliptique Corps Q Index. décimale : 510 Mathématiques Résumé : This paper is a survey concerning the torsion groups of elliptic curves over quadratic Fields. One starts with a preview on the Abelian varieties. Then one exposes arithmetic and geometric generalities on the elliptic curves. Then we establish the structure of Abelian group of Mordell-Weil, one is interested in the points of finite order, the subgroup of m - torsion E (K)[m] and the group of torsion T(E). One also gives two me thods of survey of these T(E groups) (K), for K =¥( d ) Method of Kamieny [8] and me thod of Kenku [9]. Diplôme : Magistère En ligne : ../theses/math/HAM4459.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=1311 Groupe de torsion de courbe élliptique sur une extension quadratique de corps Q [texte imprimé] / Tayeb Hamaizia, Auteur ; Mohamed Zitouni, Directeur de thèse . - Constantine : Université Mentouri Constantine, 2006 . - 48 f.
01 Disponible à la salle de recherche 02 Disponibles au magazin de la B.U.C. 01 CD
Langues : Français (fre)
Catégories : Français - Anglais
MathématiquesTags : Torsion Groupe Courbe elliptique Corps Q Index. décimale : 510 Mathématiques Résumé : This paper is a survey concerning the torsion groups of elliptic curves over quadratic Fields. One starts with a preview on the Abelian varieties. Then one exposes arithmetic and geometric generalities on the elliptic curves. Then we establish the structure of Abelian group of Mordell-Weil, one is interested in the points of finite order, the subgroup of m - torsion E (K)[m] and the group of torsion T(E). One also gives two me thods of survey of these T(E groups) (K), for K =¥( d ) Method of Kamieny [8] and me thod of Kenku [9]. Diplôme : Magistère En ligne : ../theses/math/HAM4459.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=1311 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité HAM/4459 HAM/4459 Thèse Bibliothèque principale Thèses Disponible
Titre : Systemes dynamiques et Chaos : "Application à l’optimisation a l’aide d’algorithme Type de document : texte imprimé Auteurs : Tayeb Hamaizia, Auteur ; N. Hamri, Directeur de thèse Editeur : constantine [Algérie] : Université Constantine 1 Année de publication : 2013 Importance : 88 f. Format : 30 cm. Note générale : 2 copies imprimées disponibles Langues : Français (fre) Catégories : Français - Anglais
MathématiquesTags : chaos optimisation Optimization Index. décimale : 510 Mathématiques Résumé :
Chaos, typical phenomenon of nonlinear systems, is now widely studied, because of its properties and many potential applications. Indeed, there may be chaos in many phenomena physical , chemical, meteorological, demographic or economic and its characteristics are that we can consider using it for application. In recent years, growing interests from engineering have stimulated the studies of chaos control , chaos synchronization , and chaos optimization Chaos is a kind of characteristics of nonlinear systems, which is a bounded unstable dynamic behavior that exhibits sensitive dependence on initial conditions and includes infinite unstable periodic motions. Although it appears to be stochastic, it occurs in a deterministic nonlinear system under deterministic conditions.
The combination of optimization methods and fundamentals of chaotic systems are important issues in nonlinear science , has attracted interests from various fields in recent years and has received much attention in the literature. Chaotic optimization is a new stochastic optimization algorithm, which directly utilizes chaotic variables to search the optimal solution. The sensitive dependence on initial conditions and intrinsic stochastic property of chaos make chaotic optimization to obtain the global optimal solution more possible than the method having been adopted before. It can more easily
escape from local minima than other stochastic algorithms. For this thesis, we seek original contributions on any aspect related to optimization methods with utilization of concepts of chaotic time series, attractors, Lyapunov exponents. These algorithms permitted to find with certitude a near neighborhood of the global optimum.Diplôme : Doctorat en sciences En ligne : ../theses/math/HAM6335.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=6306 Systemes dynamiques et Chaos : "Application à l’optimisation a l’aide d’algorithme [texte imprimé] / Tayeb Hamaizia, Auteur ; N. Hamri, Directeur de thèse . - constantine [Algérie] : Université Constantine 1, 2013 . - 88 f. ; 30 cm.
2 copies imprimées disponibles
Langues : Français (fre)
Catégories : Français - Anglais
MathématiquesTags : chaos optimisation Optimization Index. décimale : 510 Mathématiques Résumé :
Chaos, typical phenomenon of nonlinear systems, is now widely studied, because of its properties and many potential applications. Indeed, there may be chaos in many phenomena physical , chemical, meteorological, demographic or economic and its characteristics are that we can consider using it for application. In recent years, growing interests from engineering have stimulated the studies of chaos control , chaos synchronization , and chaos optimization Chaos is a kind of characteristics of nonlinear systems, which is a bounded unstable dynamic behavior that exhibits sensitive dependence on initial conditions and includes infinite unstable periodic motions. Although it appears to be stochastic, it occurs in a deterministic nonlinear system under deterministic conditions.
The combination of optimization methods and fundamentals of chaotic systems are important issues in nonlinear science , has attracted interests from various fields in recent years and has received much attention in the literature. Chaotic optimization is a new stochastic optimization algorithm, which directly utilizes chaotic variables to search the optimal solution. The sensitive dependence on initial conditions and intrinsic stochastic property of chaos make chaotic optimization to obtain the global optimal solution more possible than the method having been adopted before. It can more easily
escape from local minima than other stochastic algorithms. For this thesis, we seek original contributions on any aspect related to optimization methods with utilization of concepts of chaotic time series, attractors, Lyapunov exponents. These algorithms permitted to find with certitude a near neighborhood of the global optimum.Diplôme : Doctorat en sciences En ligne : ../theses/math/HAM6335.pdf Format de la ressource électronique : Permalink : index.php?lvl=notice_display&id=6306 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité HAM/6335 HAM/6335 Thèse Bibliothèque principale Thèses Disponible
