Abstract

SUXO-CORO, Aurelio Alejandro et al. Chua's circuits dynamic with non-ideal coils and hysteresis. Revista Boliviana de Física [online]. 2022, vol.40, n.40, pp.13-25. ISSN 1562-3823.

Abstract 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 Rossler type attractors and the asymmetry of the double-scroll attractors. Finally, features of the simulation time are shown that may otherwise go unnoticed, such as, those in the intermittency crisis, where a double-scroll character is observed

Keywords : Numerical simulations of chaotic systems; Electronic circuits; Inductors and coils; wiring.

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