3-dimensional piecewise linear and quadratic vector fields with invariant spheres
We consider the class $\mathcal{X}$ 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 o...
| Autores principales: | , , |
|---|---|
| Formato: | Artículo |
| Lenguaje: | English |
| Publicado: |
University of Szeged
2024-08-01
|
| Colección: | Electronic Journal of Qualitative Theory of Differential Equations |
| Materias: | |
| Acceso en línea: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11057 |