| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[2] UNESP Univ Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat & Comp, Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 25, n. 1 JAN 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
We give the normal forms of all polynomial differential systems in R-3 which have a nondegenerate or degenerate quadric as an invariant algebraic surface. We also characterize among these systems those which have a Darboux invariant constructed uniquely using the invariant quadric, giving explicitly their expressions. As an example, we apply the obtained results in the determination of the Darboux invariants for the Chen system with an invariant quadric. (AU) | |
| FAPESP's process: | 13/01743-7 - Integrability of two-dimensional polynomial differential systems |
| Grantee: | Alisson de Carvalho Reinol |
| Support Opportunities: | Scholarships abroad - Research Internship - Master's degree |
| FAPESP's process: | 12/18413-7 - Global analysis of polynomial differential systems defined on the space R3 |
| Grantee: | Marcelo Messias |
| Support Opportunities: | Regular Research Grants |