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 :
| Szerzők: | |
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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 |
| LEADER | 01352nas a2200217 i 4500 | ||
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| 008 | 231116s2023 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2023.1.16 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Moroșanu Gheorghe | |
| 245 | 1 | 0 | |a Qualitative analysis of a mechanical system of coupled nonlinear oscillators |h [elektronikus dokumentum] / |c Moroșanu Gheorghe |
| 260 | |c 2023 | ||
| 300 | |a 26 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Oszcillátor rendszerek - nemlineáris | ||
| 700 | 0 | 1 | |a Vladimirescu Cristian |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/82266/1/ejqtde_2023_016.pdf |z Dokumentum-elérés |