| Titre : | Chaotic Dynamical Systems: Control and Synchronization |
| Auteurs : | Malika Belouerghi, Auteur ; Tidjani Menacer, Directeur de thèse |
| Type de document : | Thése doctorat |
| Editeur : | Biskra [Algérie] : Faculté des Sciences Exactes et des Sciences de la Nature et de la Vie, Université Mohamed Khider, 2024 |
| Format : | 1 vol. (94 p.) / ill., couv. ill. en coul / 30 cm |
| Langues: | Anglais |
| Mots-clés: | Chaos, Hidden Attractor, Bifurcation, Equilibrium point, Stability, Chua Chaotic system, Integration duration, Control, Routh-Hurwitz criterion, Synchronization. |
| Résumé : |
Chaos is a typical phenomenon of nonlinear systems and is currently widely studied, because of its features and many potential applications. The main aim of this thesis concerns principally two major subjects. the first is to a method for uncovering a hidden bifurcation in a multispiral Chua system with a sine function that is based on the famous paper by Menacer et al. This method is based on the core idea of Leonov and Kuznetsov for searching hidden attractors while keeping |
| Sommaire : |
Abstract iii Dedication v Acknowledgments vii Scientific Contributions ix 1 Papers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix 2 Presentation at Conferences . . . . . . . . . . . . . . . . . . . . . . ix Contents xi List of Figures xvii List of Tables xix Introduction 1 I Preliminary Theory 5 1 Introduction to Chaotic Dynamical Systems 7 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Dynamical System . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2.1 Continuous and Discrete Dynamic Systems . . . . . . . . 8 1.2.2 Autonomous and Non-Autonomous Systems . . . . . . . . 8 1.2.3 Conservative Systems and Dissipative Systems . . . . . . 10 1.3 Chaotic Dynamical System . . . . . . . . . . . . . . . . . . . . . . 11 1.3.1 Characterisation of Chaotic Dynamical System . . . . . . 12 1.4 Qualitative Study of Dynamic Systems . . . . . . . . . . . . . . . 14 1.4.1 Equilibrium Points . . . . . . . . . . . . . . . . . . . . . . 15 1.4.2 Linearization of Dynamic Systems . . . . . . . . . . . . . 15 1.4.3 Hartmann-Gro |
| En ligne : | http://thesis.univ-biskra.dz/id/eprint/6403 |
Disponibilité (1)
| Cote | Support | Localisation | Statut |
|---|---|---|---|
| TM/153 | Théses de doctorat | bibliothèque sciences exactes | Consultable |
