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A physical memristor based Muthuswamy–Chua–Ginoux system
- Source :
- Scientific Reports, Scientific Reports, Nature Publishing Group, 2020, 10 (1), ⟨10.1038/s41598-020-76108-z⟩, Scientific reports (Nature Publishing Group) 10 (2020). doi:10.1038/s41598-020-76108-z, info:cnr-pdr/source/autori:Ginoux J.-M.; Muthuswamy B.; Meucci R.; Euzzor S.; Di Garbo A.; Ganesan K./titolo:A physical memristor based Muthuswamy-Chua-Ginoux system/doi:10.1038%2Fs41598-020-76108-z/rivista:Scientific reports (Nature Publishing Group)/anno:2020/pagina_da:/pagina_a:/intervallo_pagine:/volume:10, Scientific Reports, Vol 10, Iss 1, Pp 1-10 (2020), Scientific Reports, 2020, 10 (1), ⟨10.1038/s41598-020-76108-z⟩
- Publication Year :
- 2020
- Publisher :
- HAL CCSD, 2020.
-
Abstract
- International audience; 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". Michael Faraday (1791-1867) is generally well known for his contributions to the study of electromagnetism and electrochemistry. However, according to Orton 1 , while investigating the effect of temperature on the conductivity of "sulphuret of silver" (silver sulfide) in 1833 he discovered what is now considered as a thermistor 2. Thermistor, i.e., thermal resistor, is thus an electrical-resistance element made of a semiconducting material the resistance of which varies with temperature. Thermistor production was then difficult, and applications were limited. One century had to pass before thermistors became commonly used by commercial manufacturers. In the 1930s, Samuel Ruben (1900-1988) invented the first commercial thermistor that he called "electrical pyrometer resistance" (Patents N o 2,021,491). He explained that: This invention relates to an electrical pyrometer and specifically to one utilizing the resistance change of a metallic compound with heat to indicate temperature changes. The characteristic property of the material employed for the temperature indicating resistance element is one having a high negative resistance coefficient.
- Subjects :
- [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
Chaotic
A physical memristor based Muthuswamy-Chua-Ginoux system
FOS: Physical sciences
lcsh:Medicine
Dynamical Systems (math.DS)
02 engineering and technology
Memristor
Inductor
Topology
01 natural sciences
Article
010305 fluids & plasmas
law.invention
Computer Science::Hardware Architecture
Computer Science::Emerging Technologies
law
0103 physical sciences
Attractor
FOS: Mathematics
Mathematics - Dynamical Systems
lcsh:Science
Mathematics
Multidisciplinary
Thermistor
lcsh:R
Electronics, photonics and device physics
Electrical element
Nonlinear phenomena
021001 nanoscience & nanotechnology
Nonlinear Sciences - Chaotic Dynamics
Nonlinear Sciences::Chaotic Dynamics
Nonlinear system
Capacitor
[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]
lcsh:Q
Chaotic Dynamics (nlin.CD)
0210 nano-technology
Subjects
Details
- Language :
- English
- ISSN :
- 20452322
- Database :
- OpenAIRE
- Journal :
- Scientific Reports, Scientific Reports, Nature Publishing Group, 2020, 10 (1), ⟨10.1038/s41598-020-76108-z⟩, Scientific reports (Nature Publishing Group) 10 (2020). doi:10.1038/s41598-020-76108-z, info:cnr-pdr/source/autori:Ginoux J.-M.; Muthuswamy B.; Meucci R.; Euzzor S.; Di Garbo A.; Ganesan K./titolo:A physical memristor based Muthuswamy-Chua-Ginoux system/doi:10.1038%2Fs41598-020-76108-z/rivista:Scientific reports (Nature Publishing Group)/anno:2020/pagina_da:/pagina_a:/intervallo_pagine:/volume:10, Scientific Reports, Vol 10, Iss 1, Pp 1-10 (2020), Scientific Reports, 2020, 10 (1), ⟨10.1038/s41598-020-76108-z⟩
- Accession number :
- edsair.doi.dedup.....7a4bef3bb808665904ee74644dbcdf8c