Chaotic dynamics in memristive circuits
Memristors (abbreviation of memory and resistor), introduced as the fourth fundamental electrical circuit element, remember the electric charge that flowed through it. These nonlinear elements are considered as a class of two terminal resistive devices and offers a lot of possible applications in va...
| Main Authors: | , , , , , , , , , , |
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| Format: | Article |
| Language: | Portuguese |
| Published: |
Sociedade Brasileira de Física
2023-08-01
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| Series: | Revista Brasileira de Ensino de Física |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172023000100450&lng=en&tlng=en |
| _version_ | 1797751831402643456 |
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| author | Kelly C. Iarosz Enrique C. Gabrick José Trobia Rafael R. Borges Paulo R. Protachevicz Robson C. Bonetti Silvio L.T. de Souza Gabriel L. Batista José D. Szezech Jr. Iberê L. Caldas Antonio M. Batista |
| author_facet | Kelly C. Iarosz Enrique C. Gabrick José Trobia Rafael R. Borges Paulo R. Protachevicz Robson C. Bonetti Silvio L.T. de Souza Gabriel L. Batista José D. Szezech Jr. Iberê L. Caldas Antonio M. Batista |
| author_sort | Kelly C. Iarosz |
| collection | DOAJ |
| description | Memristors (abbreviation of memory and resistor), introduced as the fourth fundamental electrical circuit element, remember the electric charge that flowed through it. These nonlinear elements are considered as a class of two terminal resistive devices and offers a lot of possible applications in various areas. In this article, we review the dynamical behaviour of some electrical circuits with memristors. Initially, we show that a simple circuit with a capacitor and an inductor connected to a memristor exhibits periodic and chaotic attractors. After that, we show that the known Chua circuit, with a nonlinear resistance, can generate bifurcations and chaos. Substituting the nonlinear resistance by a memristor, the modified Chua circuit exhibits coexistence of attractors. Another known circuit, the Colpitts, is made of a combination of capacitors and inductors containing a bipolar junction transistor. We show that the modified Colpitts circuit, created by substituting the transistor by a memristor, presents multistability and coexistence of many attractors. |
| first_indexed | 2024-03-12T16:54:18Z |
| format | Article |
| id | doaj.art-174c148de7e14b9391046b973d9b9d3d |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-03-12T16:54:18Z |
| publishDate | 2023-08-01 |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-174c148de7e14b9391046b973d9b9d3d2023-08-08T07:45:39ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262023-08-014510.1590/1806-9126-rbef-2023-0116Chaotic dynamics in memristive circuitsKelly C. Iaroszhttps://orcid.org/0000-0001-9134-0753Enrique C. Gabrickhttps://orcid.org/0000-0002-8407-7675José Trobiahttps://orcid.org/0000-0002-7293-2443Rafael R. BorgesPaulo R. ProtacheviczRobson C. BonettiSilvio L.T. de SouzaGabriel L. BatistaJosé D. Szezech Jr.https://orcid.org/0000-0001-8306-8315Iberê L. Caldashttps://orcid.org/0000-0002-1748-0106Antonio M. BatistaMemristors (abbreviation of memory and resistor), introduced as the fourth fundamental electrical circuit element, remember the electric charge that flowed through it. These nonlinear elements are considered as a class of two terminal resistive devices and offers a lot of possible applications in various areas. In this article, we review the dynamical behaviour of some electrical circuits with memristors. Initially, we show that a simple circuit with a capacitor and an inductor connected to a memristor exhibits periodic and chaotic attractors. After that, we show that the known Chua circuit, with a nonlinear resistance, can generate bifurcations and chaos. Substituting the nonlinear resistance by a memristor, the modified Chua circuit exhibits coexistence of attractors. Another known circuit, the Colpitts, is made of a combination of capacitors and inductors containing a bipolar junction transistor. We show that the modified Colpitts circuit, created by substituting the transistor by a memristor, presents multistability and coexistence of many attractors.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172023000100450&lng=en&tlng=enMemristorchaoselectric circuitChuaColpitts |
| spellingShingle | Kelly C. Iarosz Enrique C. Gabrick José Trobia Rafael R. Borges Paulo R. Protachevicz Robson C. Bonetti Silvio L.T. de Souza Gabriel L. Batista José D. Szezech Jr. Iberê L. Caldas Antonio M. Batista Chaotic dynamics in memristive circuits Revista Brasileira de Ensino de Física Memristor chaos electric circuit Chua Colpitts |
| title | Chaotic dynamics in memristive circuits |
| title_full | Chaotic dynamics in memristive circuits |
| title_fullStr | Chaotic dynamics in memristive circuits |
| title_full_unstemmed | Chaotic dynamics in memristive circuits |
| title_short | Chaotic dynamics in memristive circuits |
| title_sort | chaotic dynamics in memristive circuits |
| topic | Memristor chaos electric circuit Chua Colpitts |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172023000100450&lng=en&tlng=en |
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