Browsing by Autor "Tomasz Kapitaniak"

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    Dynamical analysis of a periodically forced chaotic chemical oscillator
    (American Institute of Physics, 2024) Gonzalo Marcelo Ramírez-Ávila; Tomasz Kapitaniak; Didier Gonze
    We 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.
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    Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map
    (American Institute of Physics, 2024) Gonzalo Marcelo Ramírez-Ávila; Sishu Shankar Muni; Tomasz Kapitaniak
    We performed an exhaustive numerical analysis of the two-dimensional Chialvo map by obtaining the parameter planes based on the computation of periodicities and Lyapunov exponents. Our results allowed us to determine the different regions of dynamical behavior, identify regularities in the distribution of periodicities in regions indicating regular behavior, find some pseudofractal structures, identify regions such as the "eyes of chaos" similar to those obtained in parameter planes of continuous systems, and, finally, characterize the statistical properties of chaotic attractors leading to possible hyperchaotic behavior.