| Full text | |
| Author(s): |
Braun, Francisco
;
Llibre, Jaume
;
Mereu, Ana C.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 36, n. 10, p. 5245-5255, OCT 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we completely characterize trivial polynomial Hamiltonian isochronous centers of degrees 5 and 7. Precisely, we provide simple formulas, up to linear change of coordinates, for the Hamiltonians of the form H = (f(1)(2) + f(2)(2)) /2, where f = ( f(1), f(2)) : R-2 -> R-2 is a polynomial map with det Df = 1, f(0, 0) = ( 0, 0) and the degree of f is 3 or 4. (AU) | |
| FAPESP's process: | 14/26149-3 - Injectivity of polynomial maps in the plane |
| Grantee: | Francisco Braun |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |