| Full text | |
| Author(s): |
Llibre, Jaume
;
Teixeira, Marco A.
;
Zeli, Iris O.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 31, n. 3, p. 237-250, SEP 2016. |
| Web of Science Citations: | 2 |
| Abstract | |
The orbits of the reversible differential system x = y, y = x, z =0 w ith x,y is an element of and z is an element of R-d are periodic with the exception of the equilibrium points 0, 0, z 1,., z d). We compute the maximum number of limit cycles which bifurcate from the periodic orbits of the system. x = - y,. y = x,. z = 0, using the averaging theory of first order, when this system is perturbed, first inside the class of all polynomial differential systems of degree n, and second inside the class of all discontinuous piecewise polynomial differential systems of degree n with two pieces, one in y > 0 and the other in y < 0. In the first case, this maximum number is n(d) (n-1)/2, and in the second, it is n(d+1.) (AU) | |
| FAPESP's process: | 12/23591-1 - Singularities theory on dynamical systems in presence of symmetry |
| Grantee: | Iris de Oliveira Zeli |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/21078-8 - Periodic solutions dor discontinuous dynamical systems with symmetry |
| Grantee: | Iris de Oliveira Zeli |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |