A physical memristor based Muthuswamy-Chua-Ginoux system
Abstract
In 1976, Leon Chua showed that a thermistor can be modeled as a memristive device. Starting from this statement we designed a circuit that has four circuit elements: a linear passive inductor, a linear passive capacitor, a nonlinear resistor and a thermistor, that is, a nonlinear "locally active" memristor. Thus, the purpose of this work was to use a physical memristor, the thermistor, in a Muthuswamy-Chua chaotic system (circuit) instead of memristor emulators. Such circuit has been modeled by a new three-dimensional autonomous dynamical system exhibiting very particular properties such as the transition from torus breakdown to chaos. Then, mathematical analysis and detailed numerical investigations have enabled to establish that such a transition corresponds to the so-called route to Shilnikov spiral chaos but gives rise to a "double spiral attractor".
Cite
@article{arxiv.2105.01618,
title = {A physical memristor based Muthuswamy-Chua-Ginoux system},
author = {Jean-Marc Ginoux and Bharathwaj Muthuswamy and Riccardo Meucci and Stefano Euzzor and Angelo Di Garbo and Kaliyaperumal Ganesan},
journal= {arXiv preprint arXiv:2105.01618},
year = {2021}
}