Slow-fast dynamics in a chaotic system with strongly asymmetric memristive element

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dc.contributor.authorBirkoben, Tom
dc.contributor.authorDrangmeister, Moritz
dc.contributor.authorZahari, Finn
dc.contributor.authorYanchuk, Serhiy
dc.contributor.authorHövel, Philipp
dc.contributor.authorKohlstedt, Hermann
dc.contributor.funderDeutsche Forschungsgemeinschaften
dc.date.accessioned2020-09-03T14:26:41Z
dc.date.available2020-09-03T14:26:41Z
dc.date.issued2020-06
dc.date.updated2020-09-03T11:07:20Z
dc.description.abstractWe investigate the effect of a memristive element on the dynamics of a chaotic system. For this purpose, the chaotic Chua’s oscillator is extended by a memory element in the form of a double-barrier memristive device. The device consists of Au/NbOx/Al2O3/Al/Nb layers and exhibits strong analog-type resistive changes depending on the history of the charge flow. In the obtained system we observe strong changes in the dynamics of chaotic oscillations. The otherwise fluctuating amplitudes of Chua’s system are disrupted by transient silent states. Numerical simulations and analysis of the extended model reveal that the underlying dynamics possesses slow–fast properties due to different timescales between the memory element and the base system. Furthermore, the stabilizing and destabilizing dynamic bifurcations are identified that are traversed by the system during its chaotic behavior.en
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (DFG, German Research Foundation), projects RU2093, 411803875 and Collaborative Research Center 910))en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid2050125en
dc.identifier.citationBirkoben, T., Drangmeister, M., Zahari, F., Yanchuk, S., Hövel, P. and Kohlstedt, H. (2020) 'Slow–Fast Dynamics in a Chaotic System with Strongly Asymmetric Memristive Element', International Journal of Bifurcation and Chaos, 30(08), 2050125 (10 pp). doi: 10.1142/S0218127420501254en
dc.identifier.doi10.1142/S0218127420501254en
dc.identifier.endpage10en
dc.identifier.issn0218-1274
dc.identifier.issued8en
dc.identifier.journaltitleInternational Journal of Bifurcation and Chaos In Applied Sciences and Engineeringen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/10460
dc.identifier.volume30en
dc.language.isoenen
dc.publisherWorld Scientificen
dc.rights© 2020 The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subjectAttractoren
dc.subjectChaotic systemen
dc.subjectMemoryen
dc.subjectMemristive deviceen
dc.subjectMemristoren
dc.subjectTransient silent stateen
dc.titleSlow-fast dynamics in a chaotic system with strongly asymmetric memristive elementen
dc.typeArticle (peer-reviewed)en
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