https://m2.mtmt.hu/ hun 2026-05-04 10:07 JournalArticle 33432672 VALIDATED true 0 false 2026-01-01T10:12:59.885+0000 2022-12-22T19:36:45.627+0000 2022-12-22T19:36:43.949+0000 true 521 Szuper Admin /api/admin/521 Admin true 2025-05-22T09:53:57.595+0000 2025-05-22T09:53:57.595+0000 2022-12-22T19:36:44.213+0000 true 521 Szuper Admin /api/admin/521 Admin true true false true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType 101 true 10000059 true 1 /api/category/1 Category true 1 Beregi, Sandor Using scientific machine learning for experimental bifurcation analysis of dynamic systems true true /api/journal/3150 REVIEWED true false 3150 false 3150 true 0888-3270 1096-1216 Journal FOREIGN 184 109649 109649 16 2023 Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is a novel approach to create highly accurate, low-dimensional models of engineering systems incorporating both expert knowledge and reality through measurement data. Our exploratory study focuses on training universal differential equation (UDE) models for physical nonlinear dynamical systems with limit cycles: an aerofoil undergoing flutter oscillations and an electrodynamic nonlinear oscillator. We consider examples where training data is generated by numerical simulations, whereas we also employ the proposed modelling concept to physical experiments allowing us to investigate problems with a wide range of complexity. To collect the training data, the method of control-based continuation is used as it captures not just the stable but also the unstable limit cycles of the observed system. This feature makes it possible to extract more information about the observed system than the open-loop approach (surveying the steady state response by parameter sweeps without using control) would allow. We use both neural networks and Gaussian processes as universal approximators alongside the mechanistic models to give a critical assessment of the accuracy and robustness of the UDE modelling approach. We also highlight the potential issues one may run into during the training procedure indicating the limits of the current modelling framework. 2022 true true true false false NONE 2026-01-01 false 21 0 21 21 1 20 20 21 5 21 21 21 21 21 0 0 21 21 21 21 0 2 2 Folyóiratcikk Journal Article 24 19 Könyvrészlet Chapter in Book 25 2 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2023 0 6 6 6 6 2024 0 5 5 5 5 2025 0 10 10 10 10 D1 false false false false 1 4 0 4 0 true Language 10002 /api/language/10002 Angol English true 2 true PersonAuthorship 105542240 /api/authorship/105542240 1 0.25 true false true Author 10049622 /api/author/10049622 Beregi Sándor true 10049622 true Beregi Sandor true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false true PersonAuthorship 105542241 /api/authorship/105542241 2 0.25 false false false Barton David A. W. true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false true PersonAuthorship 105542242 /api/authorship/105542242 3 0.25 false false false Rezgui Djamel true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false true PersonAuthorship 105542243 /api/authorship/105542243 4 0.25 false true false Neild Simon true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false true PublicationIdentifier 22573860 /api/publicationidentifier/22573860 PlainSource 6 /api/publicationsource/6 PublicationSourceType 10001 /api/publicationsourcetype/10001 true true true DOI DOI https://doi.org/@@@ true true 6 true IDENTICAL 10.1016/j.ymssp.2022.109649 https://doi.org/10.1016/j.ymssp.2022.109649 false true PublicationIdentifier 22573859 /api/publicationidentifier/22573859 PlainSource 1 /api/publicationsource/1 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true IDENTICAL 000860119100004 https://www.webofscience.com/wos/woscc/full-record/000860119100004 false true Classification 10984 /api/classification/10984 true true Keyword 6436 /api/keyword/6436 true 6436 true Keyword 12390 /api/keyword/12390 true 12390 true Keyword 1132807 /api/keyword/1132807 true 1132807 true Keyword 2881279 /api/keyword/2881279 true true SjrRating 11351302 /api/sjrrating/11351302 3 0.1 journal RatingType 10002 /api/ratingtype/10002 sjr true true ClassificationExternal 2202 /api/classificationexternal/2202 true 2202 true D1 DIRECT true true /api/publication/33432672 <div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10049622"><a href="/gui2/?type=authors&mode=browse&sel=10049622" target="_blank">Beregi Sandor ✉ (<span class="authorship-author-name">Beregi Sándor</span> <span class="authorAux-mtmt"> műszaki mechanika</span>) </a> </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Barton David A. W. </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Rezgui Djamel </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Neild Simon </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;33432672" target="_blank">Using scientific machine learning for experimental bifurcation analysis of dynamic systems</a></div> <div> <span class="journal-title">MECHANICAL SYSTEMS AND SIGNAL PROCESSING</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0888-3270">0888-3270</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1096-1216">1096-1216</a>)</span>: <span class="journal-volume">184</span> <span class="page"> Paper 109649. 16 p. </span> <span class="year">(2023)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1016/j.ymssp.2022.109649" target="_blank" href="https://doi.org/10.1016/j.ymssp.2022.109649"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000860119100004" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000860119100004"> WoS </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Aerospace Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Civil and Structural Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Computer Science Applications&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Control and Systems Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Mechanical Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Signal Processing&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 21</span> | Független: 21 | Függő: 0 | Nem jelölt: 0 | WoS jelölt: 21 | Scopus jelölt:&nbsp;5 | WoS/Scopus jelölt:&nbsp;21 | DOI jelölt:&nbsp;20 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;33432672&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 2 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 33432672</span> | <span class="status-data status-VALIDATED"> Egyeztetett </span> Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">WoS-XML</span> </div> <div class="lastModified">Utolsó módosítás: 2022.12.22. 20:36 Szuper Admin (admin) </div> </div></div>