{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:36:40Z","timestamp":1753882600248,"version":"3.41.2"},"reference-count":33,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","funder":[{"DOI":"10.13039\/501100001807","name":"the S\u00e3o Paulo Research Foundation","doi-asserted-by":"publisher","award":["2023\/06076-0"],"award-info":[{"award-number":["2023\/06076-0"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,7]]},"abstract":"<jats:p> Electronic circuit implementation has been widely used to corroborate the numerically detected occurrence of chaotic dynamics in nonlinear dynamical systems. In this paper, we demonstrate that careful consideration is required when dealing with such behaviors, both in terms of numerical methods and the corresponding electronic circuit designs. Specifically, we investigate the dynamics of a circuit consisting of three elements: a passive linear inductor, a passive linear capacitor, and a locally active generic memristor, which is modeled by a three-dimensional four-parameter differential system, having the plane [Formula: see text] invariant with respect to its flow in the phase space. For a particular set of parameter values, the system exhibits a chaotic attractor, numerically obtained. However, depending on the numerical method used, solutions traverse the invariant plane [Formula: see text], which contradicts the analytical properties of the system. Furthermore, an electronic circuit implementation of the model surprisingly mimics such a numerical error, producing the same erroneous crossing behavior. This peculiarity made us consider other numerical methods, seeking to identify the reasons for the behavior, either via stiffness, or by constant step methods, etc. Going beyond the usual numerical difficulties, the search for a more suitable method was intense and culminated in an implementation specifically made to be used in problems with sharp growth, known as the Cash\u2013Karp method, which produced reasonable solutions. In this context, we provide results by different numerical methods, highlighting potential pitfalls in both numerical simulations and physical implementation in the study of chaotic systems. <\/jats:p>","DOI":"10.1142\/s0218127425300204","type":"journal-article","created":{"date-parts":[[2025,5,17]],"date-time":"2025-05-17T06:06:27Z","timestamp":1747461987000},"source":"Crossref","is-referenced-by-count":0,"title":["Electronic Implementation Replicates Numerical Error in the Chaotic Attractor Formation in a Memristive Circuit"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2269-7091","authenticated-orcid":false,"given":"Marcelo","family":"Messias","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, School of Sciences and Technology, S\u00e3o Paulo State University (UNESP), Presidente Prudente 19060-900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2486-7181","authenticated-orcid":false,"given":"Messias","family":"Meneguette","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, School of Sciences and Technology, S\u00e3o Paulo State University (UNESP), Presidente Prudente 19060-900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7003-2786","authenticated-orcid":false,"given":"Alisson de Carvalho","family":"Reinol","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Federal University of Technology \u2013 Paran\u00e1 (UTFPR), Apucarana 86812-460, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2254-6325","authenticated-orcid":false,"given":"Abdullah","family":"Gokyildirim","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronics Engineering, Bandirma Onyedi Eylul University, Balikesir, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9151-3052","authenticated-orcid":false,"given":"Akif","family":"Akgul","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, Department of Computer Engineering, Hitit University, 19030 Corum, Turkey"},{"name":"ADBA Information Technology and Publishing Ltd., Corum Technopark, Corum 19040, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,5,16]]},"reference":[{"key":"S0218127425300204BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-46042-9"},{"key":"S0218127425300204BIB002","doi-asserted-by":"publisher","DOI":"10.3389\/fncom.2017.00081"},{"key":"S0218127425300204BIB004","doi-asserted-by":"publisher","DOI":"10.1145\/79505.79507"},{"key":"S0218127425300204BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1971.1083337"},{"key":"S0218127425300204BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1986.1085869"},{"key":"S0218127425300204BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2010.2097731"},{"key":"S0218127425300204BIB008","first-page":"1950116-1","volume":"29","author":"Faghanti Z.","year":"2019","journal-title":"Int. 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