Moroșanu Gheorghe and Vladimirescu Cristian: Qualitative analysis of a mechanical system of coupled nonlinear oscillators. (2023)
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Abstract
In this paper we investigate nonlinear systems of second order ODEs describing the dynamics of two coupled nonlinear oscillators of a mechanical system. We obtain, under certain assumptions, some stability results for the null solution. Also, we show that in the presence of a time-dependent external force, every solution starting from sufficiently small initial data and its derivative are bounded or go to zero as the time tends to +∞, provided that suitable conditions are satisfied. Our theoretical results are illustrated with numerical simulations.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 16 |
| ISSN: | 1417-3875 |
| Number of Pages: | 26 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.16 |
| Uncontrolled Keywords: | Oszcillátor rendszerek - nemlineáris |
| Additional Information: | Bibliogr.: p. 24-26. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 11:35 |
| Last Modified: | 2023. Nov. 16. 11:35 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82266 |
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