dc.contributor.author
López-Nieto, Alejandro
dc.contributor.author
Lappicy, Phillipo
dc.contributor.author
Vassena, Nicola
dc.contributor.author
Stuke, Hannes
dc.contributor.author
Dai, Jia-Yuan
dc.date.accessioned
2025-07-25T11:12:13Z
dc.date.available
2025-07-25T11:12:13Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/48372
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-48094
dc.description.abstract
We describe a new mechanism that triggers periodic orbits in smooth dynamical systems. To this end, we introduce the concept of hybrid bifurcations, which consists of a bifurcation without parameters and a classical bifurcation. Our main result classifies the hybrid bifurcation when a line of equilibria with an exchange point of normal stability vanishes. We showcase the efficacy of our approach by proving stable periodic coexistent solutions in an ecosystem of two competing predators with Holling’s type II functional response.
en
dc.format.extent
27 Seiten
dc.rights
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
periodic orbits
en
dc.subject
smooth dynamical systems
en
dc.subject
hybrid bifurcations
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Hybrid bifurcations: periodicity from eliminating a line of equilibria
dc.type
Wissenschaftlicher Artikel
dc.date.updated
2025-07-01T17:43:38Z
dcterms.bibliographicCitation.doi
10.1007/s00208-024-03081-7
dcterms.bibliographicCitation.journaltitle
Mathematische Annalen
dcterms.bibliographicCitation.number
4
dcterms.bibliographicCitation.pagestart
6373
dcterms.bibliographicCitation.pageend
6399
dcterms.bibliographicCitation.volume
391
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s00208-024-03081-7
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
0025-5831
dcterms.isPartOf.eissn
1432-1807
refubium.resourceType.provider
DeepGreen
