{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T19:07:39Z","timestamp":1770577659474,"version":"3.49.0"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,6,30]]},"abstract":"<jats:p> We investigate the effect of a memristive element on the dynamics of a chaotic system. For this purpose, the chaotic Chua\u2019s oscillator is extended by a memory element in the form of a double-barrier memristive device. The device consists of [Formula: see text]\/Al<jats:sub>2<\/jats:sub>O<jats:sub>3<\/jats:sub>\/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\u2019s system are disrupted by transient silent states. Numerical simulations and analysis of the extended model reveal that the underlying dynamics possesses slow\u2013fast 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. <\/jats:p>","DOI":"10.1142\/s0218127420501254","type":"journal-article","created":{"date-parts":[[2020,7,14]],"date-time":"2020-07-14T07:55:29Z","timestamp":1594713329000},"page":"2050125","source":"Crossref","is-referenced-by-count":12,"title":["Slow\u2013Fast Dynamics in a Chaotic System with Strongly Asymmetric Memristive Element"],"prefix":"10.1142","volume":"30","author":[{"given":"Tom","family":"Birkoben","sequence":"first","affiliation":[{"name":"Nanoelektronik, Technische Fakult\u00e4t, Christian-Albrechts-Universit\u00e4t zu Kiel, Kaisertra\u00dfe 2, 24143 Kiel, Germany"}]},{"given":"Moritz","family":"Drangmeister","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik, Technische Universit\u00e4t Berlin, Hardenbergstra\u00dfe 36, 10623 Berlin, Germany"}]},{"given":"Finn","family":"Zahari","sequence":"additional","affiliation":[{"name":"Nanoelektronik, Technische Fakult\u00e4t, Christian-Albrechts-Universit\u00e4t zu Kiel, Kaisertra\u00dfe 2, 24143 Kiel, Germany"}]},{"given":"Serhiy","family":"Yanchuk","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623 Berlin, Germany"}]},{"given":"Philipp","family":"H\u00f6vel","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik, Technische Universit\u00e4t Berlin, Hardenbergstra\u00dfe 36, 10623 Berlin, Germany"},{"name":"School of Mathematical Sciences, University College Cork, Western Road, Cork T12 XF64, Ireland"}]},{"given":"Hermann","family":"Kohlstedt","sequence":"additional","affiliation":[{"name":"Nanoelektronik, Technische Fakult\u00e4t, Christian-Albrechts-Universit\u00e4t zu Kiel, Kaisertra\u00dfe 2, 24143 Kiel, Germany"}]}],"member":"219","published-online":{"date-parts":[[2020,7,10]]},"reference":[{"key":"S0218127420501254BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-02630-5"},{"key":"S0218127420501254BIB002","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780195301069.001.0001"},{"key":"S0218127420501254BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijimpeng.2015.06.008"},{"key":"S0218127420501254BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/81.246149"},{"key":"S0218127420501254BIB006","doi-asserted-by":"publisher","DOI":"10.1137\/100791233"},{"key":"S0218127420501254BIB007","doi-asserted-by":"publisher","DOI":"10.1038\/srep35686"},{"key":"S0218127420501254BIB008","doi-asserted-by":"publisher","DOI":"10.1090\/memo\/0577"},{"key":"S0218127420501254BIB009","doi-asserted-by":"publisher","DOI":"10.1021\/jp953547m"},{"key":"S0218127420501254BIB010","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.102.014501"},{"key":"S0218127420501254BIB011","doi-asserted-by":"publisher","DOI":"10.1038\/srep13753"},{"key":"S0218127420501254BIB012","doi-asserted-by":"publisher","DOI":"10.1002\/9783527680870"},{"key":"S0218127420501254BIB013","doi-asserted-by":"publisher","DOI":"10.1038\/nphys2796"},{"key":"S0218127420501254BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-4491-2"},{"key":"S0218127420501254BIB016","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1996.3198"},{"key":"S0218127420501254BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-12316-5"},{"key":"S0218127420501254BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1984.1085459"},{"key":"S0218127420501254BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71269-5"},{"key":"S0218127420501254BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-010-0217-2"},{"key":"S0218127420501254BIB021","doi-asserted-by":"publisher","DOI":"10.1002\/3527604804"},{"key":"S0218127420501254BIB022","doi-asserted-by":"publisher","DOI":"10.1017\/S0140525X00047336"},{"key":"S0218127420501254BIB023","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6463\/aa69ae"},{"key":"S0218127420501254BIB024","volume-title":"Networks of the Brain","author":"Sporns O.","year":"2011"},{"key":"S0218127420501254BIB025","volume-title":"Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering","author":"Strogatz S. 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