Publikation:

Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise

Lade...
Vorschaubild

Dateien

Neamtu_2-197nrq6ivum8p8.pdf
Neamtu_2-197nrq6ivum8p8.pdfGröße: 470.03 KBDownloads: 3

Datum

2025

Autor:innen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

ArXiv-ID

Internationale Patentnummer

Link zur Lizenz

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Hybrid
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Journal of Nonlinear Science. Springer. 2025, 35(1), 26. ISSN 0938-8974. eISSN 1432-1467. Verfügbar unter: doi: 10.1007/s00332-024-10123-6

Zusammenfassung

We estimate the finite-time Lyapunov exponents for a stochastic partial differential equation driven by a fractional Brownian motion (fbm) with Hurst index H ∈ (0, 1) close to a bifurcation of pitchfork type. We characterize regions depending on the distance from bifurcation, the Hurst parameter of the fbm and the noise strength where finite-time Lyapunov exponents are positive and thus indicate a change of stability. The results on finite-time Lyapunov exponents are novel also for SDEs perturbed by fractional noise.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Fractional Brownian motion, Finite-time Lyapunov exponents, Amplitude equations, Bifurcations for SPDEs

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690BLESSING-NEAMTU, Alexandra, Dirk BLÖMKER, 2025. Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise. In: Journal of Nonlinear Science. Springer. 2025, 35(1), 26. ISSN 0938-8974. eISSN 1432-1467. Verfügbar unter: doi: 10.1007/s00332-024-10123-6
BibTex
@article{BlessingNeamtu2025-02Finit-71952,
  title={Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise},
  year={2025},
  doi={10.1007/s00332-024-10123-6},
  number={1},
  volume={35},
  issn={0938-8974},
  journal={Journal of Nonlinear Science},
  author={Blessing-Neamtu, Alexandra and Blömker, Dirk},
  note={Article Number: 26}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/71952">
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/71952/4/Neamtu_2-197nrq6ivum8p8.pdf"/>
    <dc:rights>Attribution 4.0 International</dc:rights>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-01-17T11:13:34Z</dc:date>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/71952"/>
    <dc:creator>Blömker, Dirk</dc:creator>
    <dc:language>eng</dc:language>
    <dc:creator>Blessing-Neamtu, Alexandra</dc:creator>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/>
    <dcterms:issued>2025-02</dcterms:issued>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/71952/4/Neamtu_2-197nrq6ivum8p8.pdf"/>
    <dc:contributor>Blessing-Neamtu, Alexandra</dc:contributor>
    <dcterms:abstract>We estimate the finite-time Lyapunov exponents for a stochastic partial differential equation driven by a fractional Brownian motion (fbm) with Hurst index H ∈ (0, 1) close to a bifurcation of pitchfork type. We characterize regions depending on the distance from bifurcation, the Hurst parameter of the fbm and the noise strength where finite-time Lyapunov exponents are positive and thus indicate a change of stability. The results on finite-time Lyapunov exponents are novel also for SDEs perturbed by fractional noise.</dcterms:abstract>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Blömker, Dirk</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:title>Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise</dcterms:title>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-01-17T11:13:34Z</dcterms:available>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Unbekannt
Diese Publikation teilen