Integrability of two-dimensional polynomial differential systems
| Full text | |
| Author(s): |
Llibre, Jaume
;
Messias, Marcelo
;
Reinol, Alisson C.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 32, n. 3, p. 374-390, SEP 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we give the normal form of all planar polynomial vector fields of degree d 3 having two nonconcentric circles C-1 and C-2 as invariant algebraic curves and the function H=(C1C1 alpha)-C-beta with alpha and beta real values, as first integral. Moreover, we classify all global phase portraits on the Poincare disc of a subclass of these vector fields. (AU) | |
| FAPESP's process: | 13/26602-7 - Integrability and global dynamics of quadratic vector fields defined on R3 with Quadrics as invariant surfaces |
| Grantee: | Alisson de Carvalho Reinol |
| Support type: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 16/01258-0 - Quadratic vector fields defined in R3 with invariant planes |
| Grantee: | Alisson de Carvalho Reinol |
| Support type: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support type: | Research Projects - Thematic Grants |