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Contribution à l'Aanalyse des Bifurcations des Systèmes Non Linéaires: Application au Système Proie-Prédateur

Abstract : This thesis deals with the analysis and control of the dynamic behaviors of a nonlinear ecological system: the predatory-prey system. This approach of cybernetic nature is based on theories of bifurcations and chaos . New external factors as well as modifications in the structure of this system have been proposed to understand the dynamics of the species as well as their limits. The combination of external factors exposes chaotic behavior. The complex dynamics obtained, essentially chaotic, were controlled in order to synchronize the dynamics of the system with its natural dynamics. On the other hand, for more information, two models described by fractional polynomials have been proposed. Analysis of these new models shows the appearance of new types of bifurcations, especially when the growth rate of the prey as well as the efficiency of the predator have been modeled by polynomials of fractional order. Finally, to be able to exploit the concepts of cybernetics in industrial applications such as secure communication systems, a corresponding electronic circuit is designed and implemented using the MultiSIM software. The results obtained show the agreement between the theoretical results, the simulation results and the experimentation.
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Submitted on : Wednesday, July 15, 2020 - 1:37:36 PM
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Afef Ben Saad. Contribution à l'Aanalyse des Bifurcations des Systèmes Non Linéaires: Application au Système Proie-Prédateur. Automatique / Robotique. Institut National des Sciences Appliquées et de Technologie, 2019. Français. ⟨tel-02899637⟩

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