Abstract

CALLEJAS-ICUNA, Abdias Sergio; SUXO-CORO, Aurelio Alejandro  and  RAMIREZ-AVILA, Gonzalo Marcelo. Theoretical-experimental study of the dynamic richness of the Hartley circuit. Revista Boliviana de Física [online]. 2021, vol.39, n.39, pp.3-9. ISSN 1562-3823.

Abstract 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

Keywords : Numerical simulations of chaotic systems; Nonlinear dynamics and chaos; Electronic circuits.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )