Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.4322
DC FieldValueLanguage
dc.contributor.authorOvsyannikov, Ivan-
dc.contributor.authorRuan, Haibo-
dc.date.accessioned2022-05-03T08:43:15Z-
dc.date.available2022-05-03T08:43:15Z-
dc.date.issued2022-03-18-
dc.identifier.citationFrontiers in Applied Mathematics and Statistics 8: 756699 (2022-03-18)de_DE
dc.identifier.issn2297-4687de_DE
dc.identifier.urihttp://hdl.handle.net/11420/12417-
dc.description.abstractThe study of bifurcations of differential-algebraic equations (DAEs) is the topic of interest for many applied sciences, such as electrical engineering, robotics, etc. While some of them were investigated already, the full classification of such bifurcations has not been done yet. In this paper, we consider bifurcations of quasilinear DAEs with a singularity and provide a full list of all codimension-one bifurcations in lower-dimensional cases. Among others, it includes singularity-induced bifurcations (SIBs), which occur when an equilibrium branch intersects a singular manifold causing certain eigenvalues of the linearized problem to diverge to infinity. For these and other bifurcations, we construct the normal forms, establish the non-degeneracy conditions and give a qualitative description of the dynamics. Also, we study singular homoclinic and heteroclinic bifurcations, which were not considered before.en
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (DFG)de_DE
dc.language.isoende_DE
dc.publisherFrontiers Mediade_DE
dc.relation.ispartofFrontiers in applied mathematics and statisticsde_DE
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/de_DE
dc.subjectbifurcationde_DE
dc.subjectdifferential algebraic equation (DAE)de_DE
dc.subjectfoldde_DE
dc.subjectsingular induced bifurcationde_DE
dc.subjectslow-fast dynamicsde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleClassification of codimension-1 singular bifurcations in low-dimensional DAEsde_DE
dc.typeArticlede_DE
dc.identifier.doi10.15480/882.4322-
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-882.0182443-
tuhh.oai.showtruede_DE
tuhh.abstract.englishThe study of bifurcations of differential-algebraic equations (DAEs) is the topic of interest for many applied sciences, such as electrical engineering, robotics, etc. While some of them were investigated already, the full classification of such bifurcations has not been done yet. In this paper, we consider bifurcations of quasilinear DAEs with a singularity and provide a full list of all codimension-one bifurcations in lower-dimensional cases. Among others, it includes singularity-induced bifurcations (SIBs), which occur when an equilibrium branch intersects a singular manifold causing certain eigenvalues of the linearized problem to diverge to infinity. For these and other bifurcations, we construct the normal forms, establish the non-degeneracy conditions and give a qualitative description of the dynamics. Also, we study singular homoclinic and heteroclinic bifurcations, which were not considered before.de_DE
tuhh.publisher.doi10.3389/fams.2022.756699-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.identifier.doi10.15480/882.4322-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.volume8de_DE
dc.relation.projectOberflächenwellengetriebene Energieflüsse zwischen Ozean und Atmosphärede_DE
dc.rights.nationallicensefalsede_DE
dc.identifier.scopus2-s2.0-85127968179de_DE
tuhh.container.articlenumber756699de_DE
local.status.inpressfalsede_DE
local.type.versionpublishedVersionde_DE
local.funding.infoThe article is also supported by the grant of the Russian Science Foundation 19-11-00280.de_DE
item.fulltextWith Fulltext-
item.openairetypeArticle-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.creatorGNDOvsyannikov, Ivan-
item.creatorGNDRuan, Haibo-
item.creatorOrcidOvsyannikov, Ivan-
item.creatorOrcidRuan, Haibo-
item.languageiso639-1en-
item.mappedtypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0002-4288-9747-
crisitem.author.orcid0000-0002-2235-8033-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
crisitem.funder.funderid501100001659-
crisitem.funder.funderrorid018mejw64-
crisitem.project.funderDeutsche Forschungsgemeinschaft (DFG)-
crisitem.project.funderid501100001659-
crisitem.project.funderrorid018mejw64-
crisitem.project.grantnoTRR 181/3-
crisitem.project.fundingProgramTransregio 181-
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