dc.contributor.author
Chemnitz, Dennis
dc.contributor.author
Engel, Maximilian
dc.date.accessioned
2023-08-28T07:42:15Z
dc.date.available
2023-08-28T07:42:15Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/39952
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-39674
dc.description.abstract
We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed by additive white noise, under sufficiently strong shear strength. This completes a series of related results for simplified situations which we can exploit by studying suitable limits of the shear and noise parameters. The crucial technical ingredient for making this approach rigorous is a result on the continuity of Lyapunov exponents via Furstenberg–Khasminskii formulas.
en
dc.format.extent
37 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Positive Lyapunov Exponent
en
dc.subject
Hopf Normal Form
en
dc.subject
Additive Noise
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1007/s00220-023-04764-z
dcterms.bibliographicCitation.journaltitle
Communications in Mathematical Physics
dcterms.bibliographicCitation.number
2
dcterms.bibliographicCitation.pagestart
1807
dcterms.bibliographicCitation.pageend
1843
dcterms.bibliographicCitation.volume
402
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s00220-023-04764-z
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik

refubium.funding
Springer Nature DEAL
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1432-0916