Scientific Results

A physical memristor based Muthuswamy-Chua-Ginoux system

Year: 2020

Authors: Ginoux J-M., Muthuswamy B., Meucci R., Euzzor S., Di Garbo A., Ganesan K.

Autors Affiliation: Univ Toulon & Var, Aix Marseille Univ, CPT, CNRS, Marseille, France;‎ Quantum & Nonlinear Engn Syst, Plainsboro, NJ USA; Ist Nazl Ottica, Consiglio Nazl Ric, Florence, Italy;‎ Univ Firenze, Dept Phys & Astron, Florence, Italy; Ist Biofis, Consiglio Nazl Ric, Pisa, Italy; Vellore Inst Technol, Sch Informat Technol & Engn, Vellore 632014, Tamil Nadu, India

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”.

Journal/Review: SCIENTIFIC REPORTS

Volume: 10 (1)      Pages from: 19206-1  to: 19206-10

KeyWords: Muthuswamy-Chua chaotic system
DOI: 10.1038/s41598-020-76108-z

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