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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".

SUBMITTER: Ginoux JM

PROVIDER: S-EPMC7645598 | biostudies-literature | 2020 Nov

REPOSITORIES: biostudies-literature

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A physical memristor based Muthuswamy-Chua-Ginoux system.

Ginoux Jean-Marc JM Muthuswamy Bharathwaj B Meucci Riccardo R Euzzor Stefano S Di Garbo Angelo A Ganesan Kaliyaperumal K

Scientific reports 20201105 1

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 ...[more]

PMID: 33154414

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