Browsing by Autor "AURELIO ALEJANDRO SUXO-CORO"

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    DINÁMICA DE CIRCUITOS DE CHUA CON BOBINAS NO IDEALES E HISTÉRESIS
    (2022) AURELIO ALEJANDRO SUXO-CORO; ABDIAS SERGIO CALLEJAS-ICUNA; C. Nina; Rene O. Medrano-T; Gonzalo Marcelo Ramírez-Ávila
    A complete dynamic study (theoretical, experimental and numerical) of a chaotic Chua-type circuit was carried out using a non-ideal coil with non-negligible values of its internal resistance. This set up means that the circuit does not show chaotic behavior. In order to observe chaoticity, a modification that introduces hysteresis to the Chua diode is proposed. Using spaces of up to three control parameters it is shown how this modification adapts to a wide range of non-ideal inductors presenting more extensive chaotic regions than the classical Chua circuit. These simulations are tested with a physical circuit and demonstrate how the modifications result in a simpler experimental design of the inductor. By simplifying the experimental design the difficulties caused by the electronic component is eliminated and results in the absence of Rössler type attractors and the asymmetry of the double-scroll attractors.
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    ESTUDIO TEÓRICO-EXPERIMENTAL DE LA RIQUEZA DINÁMICA DEL CIRCUITO DE HARTLEY
    (2021) ABDIAS SERGIO CALLEJAS-ICUNA; AURELIO ALEJANDRO SUXO-CORO; Gonzalo Marcelo Ramírez-Ávila
    We study the dynamic behavior of a variant of Hartley’s circuit from numerical and experimental viewpoints. First, we observed the transition from regular to chaotic behavior considering as parameter controls either the values of resistors or inductors. We experimentally obtained the phase space of the circuits for different values of the parameter control and using specialized software for electronic circuits, we corroborated the experimental results. Finally, we characterized the circuit’s dynamical behavior with a related dynamical system determining phase spaces, bifurcation diagrams, and Lyapunov exponents. The phase spaces enabled us to have a qualitative insight into the dynamical behavior (regular or chaotic) when observing the shape of the related attractors. The bifurcation diagrams indicated how the dynamics evolve from regular to chaotic behavior or vice versa. Moreover, we observed the bifurcation cascade of doubling periods in the route to chaos. The largest Lyapunov exponent permitted us to eventually determine the chaotic or regular behavior of the system quantitatively, once more finding a good agreement with our experimental results.