Differential homology and cohomology, gerbes and applications
Waclaw Boleslaw Marzantowicz | Adam Mickiewicz University - Poland
Geometry and topology of Riemannian foliations via deformations
| Full text | |
| Author(s): |
Romanovski, Valery G.
;
Fernandes, Wilker
;
Oliveira, Regilene
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Computational and Applied Mathematics; v. 320, p. 61-75, AUG 15 2017. |
| Web of Science Citations: | 6 |
| Abstract | |
We investigate the simultaneous existence of two centers and their isochronicity for two families of planar Z(2)-equivariant differential systems. First, for a family studied by Liu and Li (2011) we present the necessary and sufficient conditions for the existence of an isochronous bi-center. Next, we give conditions for the existence of a bi-center and study its isochronicity for a planar Z(2)-equivariant quintic system having two weak foci or centers. We also give two examples of non-Hamiltonian cubic systems with three isochronous centers. (c) 2017 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 14/00304-2 - Singularities of differentiable mappings: theory and applications |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |