mycoreobjectrosdok_disshab_0000003658rosdok_disshab_0000003658rosdokdisshabrosdok_derivate_00002294872026-09-09T11:24:56.191Z2026-09-09T08:55:51.298ZMCRJANITOReditorFGpublished1rosdok_derivate_0000229487truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok_id000057851983612405Oau2026-09-092026-09-09T11:24:31ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.DissertationHochschulschriftData-driven control of periodic orbitsThis work proposes methods for the stabilization of unstable periodic orbits by dynamically adjusting a system parameter. In particular, the case where the equations of motion of the system that possesses periodic orbits are unknown is discussed. First, a stabilization scheme based on a linear state feedback of a Poincaré map is presented. Furthermore, a data-driven nonlinear control scheme that leads to a large basin of attraction of the stabilized periodic orbit is proposed. The presented methods are numerically validated on both autonomous and non-autonomous nonlinear dynamical systems.NiklasKruse1999 -VerfasserInaut14188445780000-0002-6535-8375JensStarke1969 -AkademischeR BetreuerIndgs1181336080000-0001-9411-5893Universität Rostock, Institut für MathematikBerndKrauskopfAkademischeR BetreuerIndgsUniversity of Auckland, Department of MathematicsConstantinosSiettosAkademischeR BetreuerIndgsUniversity of Naples Federico II, Department of Mathematics and Applications38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgghttps://purl.uni-rostock.de/rosdok/id00005785urn:nbn:de:gbv:28-rosdok_id00005785-110.18453/rosdok_id00005785510 MathematikMathematisch-Naturwissenschaftliche FakultätCC BY 4.0Nutzungsrechte erteiltLizenz Metadaten: CC0frei zugänglich (Open Access)en1 Online-Ressource (verschiedene Seitenzählungen)2026April 23, 2026Universität RostockRostockmonographic20262026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005785Enthält ZeitschriftenartikelJens Starke (Universität Rostock, Institut für Mathematik) ; Bernd Krauskopf (University of Auckland, Department of Mathematics) ; Constantinos Siettos (University of Naples Federico II, Department of Mathematics and Applications)[{"name":"Starke, Jens","affil":"Universität Rostock, Institut für Mathematik"},{"name":"Krauskopf, Bernd","affil":"University of Auckland, Department of Mathematics"},{"name":"Siettos, Constantinos","affil":"University of Naples Federico II, Department of Mathematics and Applications"}]Dissertation, Universität Rostock, 2026, Kumulative Dissertationvorgelegt von Niklas KruseStarke, JensUniversität Rostock, Institut für MathematikKrauskopf, BerndUniversity of Auckland, Department of MathematicsSiettos, ConstantinosUniversity of Naples Federico II, Department of Mathematics and Applicationsdoctype:epubdoctype:epubDokumenttypDocument typedoctype:epub.dissertationdoctype:epub.dissertationDissertationdoctoral thesisdiniPublType:doctoralThesis diniPublType2022:PhDThesis XMetaDissPlusThesisLevel:thesis.doctoralinfo:eu-repo/semantics/doctoralThesisdocumentnatureOfContent:ppn_105825778natureOfContent:ppn_105825778HochschulschriftdiniPublType2022:DoctoralThesisdiniPublType2022:DoctoralThesisDissertation oder HabilitationDoctoral thesisDRIVERdiniPublType2022:PhDThesisdiniPublType2022:PhDThesisDissertationPhD thesisKDSF (Pu34)XMetaDissPlusThesisLevel:thesis.doctoralXMetaDissPlusThesisLevel:thesis.doctoralDoktorarbeitdoctoral thesisSDNB:510SDNB:510510 Mathematik510 Mathematicsinstitution:unirostockinstitution:unirostockUniversität RostockUniversity of RostockUniversität RostockUniversität RostockUni.Rostockhttp://d-nb.info/gnd/38329-6institution:unirostock.mnfinstitution:unirostock.mnfMathematisch-Naturwissenschaftliche FakultätFaculty of Mathematics and Natural SciencesUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMathematisch-Natur-<br />wissenschaftliche FakultätUni.Rostock.Fakultaet.MNFhttp://d-nb.info/gnd/2147083-2licenseinfo:worklicenseinfo:workWerkworklicenseinfo:work.cclicenselicenseinfo:work.cclicenseCC-LizenzCC-licenselicenseinfo:work.cclicense.cc-bylicenseinfo:work.cclicense.cc-byCC BYCC BYlicenseinfo:work.cclicense.cc-by.v40licenseinfo:work.cclicense.cc-by.v40CC BY 4.0CC BY 4.0/creativecommons/l/by/4.0/88x31.png[DE-28]Namensnennung 4.0 International$cCC BY 4.0$gCreative Commons$uhttps://creativecommons.org/licenses/by/4.0/https://creativecommons.org/licenses/by/4.0/https://creativecommons.org/licenses/by/4.0/licenseinfo:depositlicenseinfo:depositVeröffentlichungsgenehmigungpermission to storelicenseinfo:deposit.rightsgrantedlicenseinfo:deposit.rightsgrantedNutzungsrechte erteiltrights grantedlicenseinfo:metadatalicenseinfo:metadataLizenzen für Metadatenlicenseinfo:metadata.cc0licenseinfo:metadata.cc0Lizenz Metadaten: CC0license metadata: CC0/creativecommons/p/zero/1.0/88x31.pnghttps://creativecommons.org/publicdomain/zero/1.0/accesscondition:openaccessaccesscondition:openaccessfrei zugänglich (Open Access)open accesshttp://purl.org/coar/access_right/c_abf2OAfreeinfo:eu-repo/semantics/openAccess[DE-28]Open Access$gControlled Vocabulary for Access Rights$uhttp://purl.org/coar/access_right/c_abf2rfc5646:enrfc5646:enEnglischEnglishengengData-driven control of periodic orbitsData-driven control of periodic orbitsgnd:1418844578orcid:0000-0002-6535-8375gnd:118133608orcid:0000-0001-9411-5893gnd:38329-6gnd:2147083-2gnd:1418844578orcid:0000-0002-6535-8375gnd:118133608orcid:0000-0001-9411-5893gnd:38329-6gnd:2147083-2rosdok_disshab_0000003658-d1346452e52gnd:1418844578orcid:0000-0002-6535-8375Niklas KruseNiklas Kruserosdok_disshab_0000003658-d1346452e68gnd:118133608orcid:0000-0001-9411-5893Jens StarkeJens Starkerosdok_disshab_0000003658-d1346452e85Bernd KrauskopfBernd Krauskopfrosdok_disshab_0000003658-d1346452e96Constantinos SiettosConstantinos Siettosrosdok_disshab_0000003658-d1346452e108gnd:38329-6Universität RostockUniversität Rostockrosdok_disshab_0000003658-d1346452e121gnd:2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätNiklas KruseJens StarkeBernd KrauskopfConstantinos SiettosUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätNiklas KruseJens StarkeBernd KrauskopfConstantinos SiettosUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätNiklas KruseRostockUniversität Rostockepub.dissertationhttps://purl.uni-rostock.de/rosdok/id00005785urn:nbn:de:gbv:28-rosdok_id00005785-110.18453/rosdok_id00005785This work proposes methods for the stabilization of unstable periodic orbits by dynamically adjusting a system parameter. In particular, the case where the equations of motion of the system that possesses periodic orbits are unknown is discussed. First, a stabilization scheme based on a linear state feedback of a Poincaré map is presented. Furthermore, a data-driven nonlinear control scheme that leads to a large basin of attraction of the stabilized periodic orbit is proposed. The presented methods are numerically validated on both autonomous and non-autonomous nonlinear dynamical systems.20262026Enthält ZeitschriftenartikelJens Starke (Universität Rostock, Institut für Mathematik) ; Bernd Krauskopf (University of Auckland, Department of Mathematics) ; Constantinos Siettos (University of Naples Federico II, Department of Mathematics and Applications)[{"name":"Starke, Jens","affil":"Universität Rostock, Institut für Mathematik"},{"name":"Krauskopf, Bernd","affil":"University of Auckland, Department of Mathematics"},{"name":"Siettos, Constantinos","affil":"University of Naples Federico II, Department of Mathematics and Applications"}]Dissertation, Universität Rostock, 2026, Kumulative Dissertationvorgelegt von Niklas Kruseepub.dissertation1 Kruse_Dissertation_2026.pdf 8135394 2f0af0d3a34079956f2309438f995837 rosdok_id000057851983612405Oau2026-09-092026-09-09T11:24:31ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.DissertationHochschulschriftData-driven control of periodic orbitsThis work proposes methods for the stabilization of unstable periodic orbits by dynamically adjusting a system parameter. In particular, the case where the equations of motion of the system that possesses periodic orbits are unknown is discussed. First, a stabilization scheme based on a linear state feedback of a Poincaré map is presented. Furthermore, a data-driven nonlinear control scheme that leads to a large basin of attraction of the stabilized periodic orbit is proposed. The presented methods are numerically validated on both autonomous and non-autonomous nonlinear dynamical systems.NiklasKruse1999 -VerfasserInaut14188445780000-0002-6535-8375JensStarke1969 -AkademischeR BetreuerIndgs1181336080000-0001-9411-5893Universität Rostock, Institut für MathematikBerndKrauskopfAkademischeR BetreuerIndgsUniversity of Auckland, Department of MathematicsConstantinosSiettosAkademischeR BetreuerIndgsUniversity of Naples Federico II, Department of Mathematics and Applications38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgghttps://purl.uni-rostock.de/rosdok/id00005785urn:nbn:de:gbv:28-rosdok_id00005785-110.18453/rosdok_id00005785510 MathematikMathematisch-Naturwissenschaftliche FakultätCC BY 4.0Nutzungsrechte erteiltLizenz Metadaten: CC0frei zugänglich (Open Access)en1 Online-Ressource (verschiedene Seitenzählungen)2026April 23, 2026Universität RostockRostockmonographic20262026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005785Enthält ZeitschriftenartikelJens Starke (Universität Rostock, Institut für Mathematik) ; Bernd Krauskopf (University of Auckland, Department of Mathematics) ; Constantinos Siettos (University of Naples Federico II, Department of Mathematics and Applications)[{"name":"Starke, Jens","affil":"Universität Rostock, Institut für Mathematik"},{"name":"Krauskopf, Bernd","affil":"University of Auckland, Department of Mathematics"},{"name":"Siettos, Constantinos","affil":"University of Naples Federico II, Department of Mathematics and Applications"}]Dissertation, Universität Rostock, 2026, Kumulative Dissertationvorgelegt von Niklas Kruse Starke, Jens Universität Rostock, Institut für Mathematik Krauskopf, Bernd University of Auckland, Department of Mathematics Siettos, Constantinos University of Naples Federico II, Department of Mathematics and Applications 2026-09-09T08:55:51.298Z 2026-09-09T11:24:56.191Z 2026-09-19T11:24:56.202Z editorFG {"identifier":"rosdok/id00005785","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-09-09T08:55:52.770Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005785-1","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-09-09T08:55:52.865Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005785","type":"purl","additional":"","service":"RosDokPURL","created":"2026-09-09T08:55:52.875Z","registrationStarted":"2026-09-09T11:24:54.798Z"} {"identifier":"10.18453/rosdok_id00005785","type":"doi","additional":"","service":"RosDokDOI","created":"2026-09-09T08:55:52.884Z","registrationStarted":"2026-09-09T11:24:54.099Z","registered":"2026-09-09T11:24:56.187Z"} MCRJANITORfulltextfile/rosdok_disshab_0000003658/rosdok_derivate_0000229487/Kruse_Dissertation_2026.pdfData-driven control of periodic orbitsData-driven control of periodic orbitsgnd:1418844578orcid:0000-0002-6535-8375gnd:118133608orcid:0000-0001-9411-5893gnd:38329-6gnd:2147083-2gnd:1418844578orcid:0000-0002-6535-8375gnd:118133608orcid:0000-0001-9411-5893gnd:38329-6gnd:2147083-2rosdok_disshab_0000003658-d1346452e52gnd:1418844578orcid:0000-0002-6535-8375Niklas KruseNiklas Kruserosdok_disshab_0000003658-d1346452e68gnd:118133608orcid:0000-0001-9411-5893Jens StarkeJens Starkerosdok_disshab_0000003658-d1346452e85Bernd KrauskopfBernd Krauskopfrosdok_disshab_0000003658-d1346452e96Constantinos SiettosConstantinos Siettosrosdok_disshab_0000003658-d1346452e108gnd:38329-6Universität RostockUniversität Rostockrosdok_disshab_0000003658-d1346452e121gnd:2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätNiklas KruseJens StarkeBernd KrauskopfConstantinos SiettosUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätNiklas KruseJens StarkeBernd KrauskopfConstantinos SiettosUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätNiklas KruseRostockUniversität Rostockepub.dissertationhttps://purl.uni-rostock.de/rosdok/id00005785urn:nbn:de:gbv:28-rosdok_id00005785-110.18453/rosdok_id00005785This work proposes methods for the stabilization of unstable periodic orbits by dynamically adjusting a system parameter. In particular, the case where the equations of motion of the system that possesses periodic orbits are unknown is discussed. First, a stabilization scheme based on a linear state feedback of a Poincaré map is presented. Furthermore, a data-driven nonlinear control scheme that leads to a large basin of attraction of the stabilized periodic orbit is proposed. The presented methods are numerically validated on both autonomous and non-autonomous nonlinear dynamical systems.20262026Enthält ZeitschriftenartikelJens Starke (Universität Rostock, Institut für Mathematik) ; Bernd Krauskopf (University of Auckland, Department of Mathematics) ; Constantinos Siettos (University of Naples Federico II, Department of Mathematics and Applications)[{"name":"Starke, Jens","affil":"Universität Rostock, Institut für Mathematik"},{"name":"Krauskopf, Bernd","affil":"University of Auckland, Department of Mathematics"},{"name":"Siettos, Constantinos","affil":"University of Naples Federico II, Department of Mathematics and Applications"}]Dissertation, Universität Rostock, 2026, Kumulative Dissertationvorgelegt von Niklas Kruse[xslt]Saxonrosdok_id00005785https://purl.uni-rostock.de/rosdok/id00005785198361240510.18453/rosdok_id00005785urn:nbn:de:gbv:28-rosdok_id00005785-1Niklas KruseKruse NiklasData-driven control of periodic orbitsDissertationdoctoral thesisUniversität Rostock, April 23, 2026This work proposes methods for the stabilization of unstable periodic orbits by dynamically adjusting a system parameter. In particular, the case where the equations of motion of the system that possesses periodic orbits are unknown is discussed. First, a stabilization scheme based on a linear state…Niklas KruseData-driven control of periodic orbitsUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005785NiklasKruse1999 -VerfasserInaut14188445780000-0002-6535-8375JensStarke1969 -AkademischeR BetreuerIndgs1181336080000-0001-9411-5893Universität Rostock, Institut für MathematikBerndKrauskopfAkademischeR BetreuerIndgsUniversity of Auckland, Department of MathematicsConstantinosSiettosAkademischeR BetreuerIndgsUniversity of Naples Federico II, Department of Mathematics and Applications38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgg[purl]https://purl.uni-rostock.de/rosdok/id00005785[urn]urn:nbn:de:gbv:28-rosdok_id00005785-1[doi]10.18453/rosdok_id00005785open_access20262026epoch:21th_centuryrfc5646:endoctype:epub.dissertationaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published