Browsing by Autor "Didier Gonze"
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Item type: Item , Dynamical analysis of a periodically forced chaotic chemical oscillator(American Institute of Physics, 2024) Gonzalo Marcelo Ramírez-Ávila; Tomasz Kapitaniak; Didier GonzeWe present a comprehensive dynamical analysis of a chaotic chemical model referred to as the autocatalator, when subject to a periodic administration of one substrate. Our investigation encompasses the dynamical characterization of both unforced and forced systems utilizing isospikes and largest Lyapunov exponents-based parameter planes, bifurcation diagrams, and analysis of complex oscillations. Additionally, we present a phase diagram showing the effect of the period and amplitude of the forcing signal on the system's behavior. Furthermore, we show how the landscapes of parameter planes are altered in response to forcing application. This analysis contributes to a deeper understanding of the intricate dynamics induced by the periodic forcing of a chaotic system.Item type: Item , Exploring Chronomodulated Radiotherapy Strategies in a Chaotic Population Model(RELX Group (Netherlands), 2023) Gonzalo Marcelo Ramírez-Ávila; Jürgen Kurths; Didier Gonze; Geneviève DupontItem type: Item , Exploring chronomodulated radiotherapy strategies in a chaotic population model(Elsevier BV, 2023) Gonzalo Marcelo Ramírez-Ávila; Jürgen Kurths; Didier Gonze; Geneviève Dupont