Qualitative analysis of a mechanical system of coupled nonlinear oscillators
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...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Oszcillátor rendszerek - nemlineáris |
| doi: | 10.14232/ejqtde.2023.1.16 |
| Online Access: | http://acta.bibl.u-szeged.hu/82266 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 26 |
| ISSN: | 1417-3875 |