A physical memristor based Muthuswamy-Chua-Ginoux system

Autor: Ginoux, Jean-Marc, Muthuswamy, Bharathwaj, Meucci, Riccardo, Euzzor, Stefano, Di Garbo, Angelo, Ganesan, Kaliyaperumal
Rok vydání: 2021
Předmět:
Zdroj: Scientific Reports, (2020), 10:19206
Druh dokumentu: Working Paper
DOI: 10.1038/s41598-020-76108-z
Popis: 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".
Databáze: arXiv