<div class="csl-bib-body">
<div class="csl-entry">Ficek, F., & Maliborski, M. K. (2025). <i>Nonlinear oscillations of strings and beams</i>. arXiv. https://doi.org/10.48550/arXiv.2508.19091</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/226246
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dc.description.abstract
We investigate the time-periodic solutions to the nonlinear wave and beam equations and uncover their intricate, fractal-like structure. In particular, we identify a new class of large-energy solutions with complex mode compositions and propose a systematic framework for their analysis. A Floquet stability study reveals that this class contains solutions that are linearly stable, suggesting that they may play a significant role in the nonlinear dynamics of the systems.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
time-periodic solutions
en
dc.subject
wave equation
en
dc.subject
beam equation
en
dc.title
Nonlinear oscillations of strings and beams
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
2508.19091
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dc.contributor.affiliation
University of Vienna, Austria
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dc.relation.grantno
P 36455
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tuw.project.title
Hin und zurück: über (quasi-)periodische Lösungen in der AR
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tuw.researchTopic.id
C4
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tuw.researchTopic.id
C6
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.name
Modeling and Simulation
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tuw.researchTopic.value
50
-
tuw.researchTopic.value
50
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tuw.publication.orgunit
E101-03 - Forschungsbereich Scientific Computing and Modelling
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tuw.publisher.doi
10.48550/arXiv.2508.19091
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dc.description.numberOfPages
7
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tuw.author.orcid
0000-0001-5885-7064
-
tuw.author.orcid
0000-0002-8621-9761
-
dc.description.sponsorshipexternal
FWF
-
dc.description.sponsorshipexternal
FWF
-
dc.relation.grantnoexternal
10.55776/Y963
-
dc.relation.grantnoexternal
10.55776/Z387
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tuw.publisher.server
arXiv
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wb.sciencebranch
Physik, Astronomie
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1030
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
50
-
wb.sciencebranch.value
50
-
item.openairecristype
http://purl.org/coar/resource_type/c_816b
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item.fulltext
no Fulltext
-
item.languageiso639-1
en
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item.grantfulltext
none
-
item.openairetype
preprint
-
item.cerifentitytype
Publications
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crisitem.author.dept
University of Vienna, Austria
-
crisitem.author.dept
E101-03 - Forschungsbereich Scientific Computing and Modelling
-
crisitem.author.orcid
0000-0001-5885-7064
-
crisitem.author.orcid
0000-0002-8621-9761
-
crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing
