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https://doi.org/10.21256/zhaw-29762| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Analytical solution of an ill-posed system of nonlinear ODE’s |
| Authors: | Altenburger, Ruprecht Henrici, Andreas Robbiani, Marcello |
| et. al: | No |
| DOI: | 10.1016/j.cnsns.2023.107762 10.21256/zhaw-29762 |
| Published in: | Communications in Nonlinear Science and Numerical Simulation |
| Volume(Issue): | 130 |
| Issue: | 107762 |
| Issue Date: | Mar-2024 |
| Publisher / Ed. Institution: | Elsevier |
| ISSN: | 1007-5704 |
| Language: | English |
| Subjects: | Ill-posed ODE system; Jacobian elliptic function; Nonlinear pendulum |
| Subject (DDC): | 510: Mathematics |
| Abstract: | In this paper, we discuss a solution strategy for an overdetermined ODE system that uses elliptic functions. In particular, we show how an apparently ill-posed ODE system can be made amenable to treatment by Jacobian elliptic functions by introducing additional free parameters and still obtain a solution that corresponds well to the physically expected behavior. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/29762 |
| Fulltext version: | Published version |
| License (according to publishing contract): | CC BY 4.0: Attribution 4.0 International |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Applied Mathematics and Physics (IAMP) Institute of Mechatronic Systems (IMS) |
| Appears in collections: | Publikationen School of Engineering |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 2024_Altenburger-etal_Analytical-solution-ill-posed-system-nonlinear-ODEs.pdf | 903.92 kB | Adobe PDF |  View/Open |
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Altenburger, R., Henrici, A., & Robbiani, M. (2024). Analytical solution of an ill-posed system of nonlinear ODE’s. Communications in Nonlinear Science and Numerical Simulation, 130(107762). https://doi.org/10.1016/j.cnsns.2023.107762
Altenburger, R., Henrici, A. and Robbiani, M. (2024) ‘Analytical solution of an ill-posed system of nonlinear ODE’s’, Communications in Nonlinear Science and Numerical Simulation, 130(107762). Available at: https://doi.org/10.1016/j.cnsns.2023.107762.
R. Altenburger, A. Henrici, and M. Robbiani, “Analytical solution of an ill-posed system of nonlinear ODE’s,” Communications in Nonlinear Science and Numerical Simulation, vol. 130, no. 107762, Mar. 2024, doi: 10.1016/j.cnsns.2023.107762.
ALTENBURGER, Ruprecht, Andreas HENRICI und Marcello ROBBIANI, 2024. Analytical solution of an ill-posed system of nonlinear ODE’s. Communications in Nonlinear Science and Numerical Simulation. März 2024. Bd. 130, Nr. 107762. DOI 10.1016/j.cnsns.2023.107762
Altenburger, Ruprecht, Andreas Henrici, and Marcello Robbiani. 2024. “Analytical Solution of an Ill-Posed System of Nonlinear ODE’s.” Communications in Nonlinear Science and Numerical Simulation 130 (107762). https://doi.org/10.1016/j.cnsns.2023.107762.
Altenburger, Ruprecht, et al. “Analytical Solution of an Ill-Posed System of Nonlinear ODE’s.” Communications in Nonlinear Science and Numerical Simulation, vol. 130, no. 107762, Mar. 2024, https://doi.org/10.1016/j.cnsns.2023.107762.
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