Record link: 
http://hdl.handle.net/20.500.12708/226246
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Title: 
Nonlinear oscillations of strings and beams
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Citation: 
Ficek, F., & Maliborski, M. K. (2025). Nonlinear oscillations of strings and beams. arXiv. https://doi.org/10.48550/arXiv.2508.19091
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Publisher DOI: 
10.48550/arXiv.2508.19091
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Publication Type: 
Preprint
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Language: 
English
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Authors: 
Ficek, Filip 
Maliborski, Maciej Krzysztof 
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Organisational Unit: 
E101-03 - Forschungsbereich Scientific Computing and Modelling 
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ArXiv ID: 
2508.19091
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Date (published): 
26-Aug-2025
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Number of Pages: 
7
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Preprint Server: 
arXiv
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Keywords: 
time-periodic solutions; wave equation; beam equation
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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.
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Project title: 
Hin und zurück: über (quasi-)periodische Lösungen in der AR: P 36455 (FWF - Österr. Wissenschaftsfonds) 
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Project (external): 
FWF
FWF
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Project ID: 
10.55776/Y963
10.55776/Z387
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Research Areas: 
Mathematical and Algorithmic Foundations: 50%
Modeling and Simulation: 50%
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Science Branch: 
1030 - Physik, Astronomie: 50%
1010 - Mathematik: 50%
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Appears in Collections:
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