3-dimensional piecewise linear and quadratic vector fields with invariant spheres
We consider the class X of 3-dimensional piecewise smooth vector fields that admit a first integral which leaves invariant any sphere centered at the origin. In this class, we prove that a linear vector field does not admit isolated invariant cones. Moreover, we provide the existence of at least ten...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Dinamikus rendszer |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.43 |
| Online Access: | http://acta.bibl.u-szeged.hu/88845 |
| LEADER | 01260nas a2200253 i 4500 | ||
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| 005 | 20251118132641.0 | ||
| 008 | 251118s2024 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2024.1.43 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Buzzi Claudio A. | |
| 245 | 1 | 0 | |a 3-dimensional piecewise linear and quadratic vector fields with invariant spheres |h [elektronikus dokumentum] / |c Buzzi Claudio A. |
| 260 | |c 2024 | ||
| 300 | |a 27 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We consider the class X of 3-dimensional piecewise smooth vector fields that admit a first integral which leaves invariant any sphere centered at the origin. In this class, we prove that a linear vector field does not admit isolated invariant cones. Moreover, we provide the existence of at least ten 1-parameter families of crossing closed trajectories for quadratic vector fields in X. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Dinamikus rendszer | ||
| 700 | 0 | 1 | |a Rodero Ana Livia |e aut |
| 700 | 0 | 1 | |a Torregrosa Joan |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/88845/1/ejqtde_2024_043.pdf |z Dokumentum-elérés |