https://doi.org/10.1140/epjp/s13360-023-04224-6
Regular Article
Influence of the noise strength in a novel tristate electronic circuit and its microcontroller-based experimental powered by multifrequency signals
1
Laboratory of Mechanics, Materials and Structures, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
2
Department of Technology, Langston University, 73050, Langston, OK, USA
Received:
9
March
2023
Accepted:
23
June
2023
Published online:
19
July
2023
The present study considers an electronic circuit for modeling a stochastic tristate system. The circuit shows the ghost stochastic resonance (GSR) and ghost stochastic antiresonance (GSAR) through the system dynamical properties. We investigated the dynamics occurred in the circuit composed of two AC generator and one noise generator. Our attention is focused on the noise effect which takes into account the circuit’s temperature. The circuit shows the changes according to four control parameters: the applied voltage amplitude, the frequency, the circuit damping and the multistability parameters (resistors). The multistability impact is the major aim explored in this work. Surprisingly, the system encounters a novel aspect which is simply the fact that three resistors are joined together to generate different sorts of multistability characteristics, starting from a tristable potential shape to a monostable potential shape and ending with a catastrophic potential shape. The dynamic of the system is studied numerically and by Pspice Simulation. The Pspice estimates match with numerical simulations. Firstly, we start by studying numerically the multistability effects as well as the damping term effects on the Mean First Passage Time (MFPT). Then, we study numerically the effect of multistability on the GSR and GSAR. Response curves obtained illustrating the appearance of GSR and GSAR in the system are obtained through the sine and the cosine Fourier component denoted 
. Remarkably, the variation of resistances greatly influences the occurrence of GSR and GSAR in the system. A low-cost microcontroller-based implementation for digital engineering applications is presented to confirm the feasibility of the circuit.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
