| dc.creator | Uribe, Marco | |
| dc.date | 2015-08-21T21:49:17Z | |
| dc.date | 2015-08-21T21:49:17Z | |
| dc.date | 2006 | |
| dc.identifier | Journal of Dynamical and Control Systems 12 (1) | |
| dc.identifier | 1079-2724 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/89 | |
| dc.description | Artículo de publicación ISI | |
| dc.description | In this paper, we consider a small polynomial perturbation
of the Hamiltonian vector field with the Hamiltonian F(x, y) =
x[y2 − (x − 3)2] having a center bounded by a triangle. The main
result of this work is that the principal Poincar´e–Pontryagin function
associated with such a perturbation and with the family of ovals
surrounding the center belongs to the C[t, 1/t] module generated by
Abelian integrals I0(t) and I2(t) and by I∗(t), where I∗(t) is not an
Abelian integral. We show that, in general, the principal Poincar´e–
Pontryagin function of order two of a polynomial perturbation of the
degree at least five is not an Abelian integral | |
| dc.language | en | |
| dc.publisher | Springer | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.subject | Abelian integrals | |
| dc.subject | Poincaré–Pontryagin functions | |
| dc.subject | asymptotic development. | |
| dc.title | Principal poincaré–pontryagin function of polynomial perturbations of the hamiltonian triangle | |
| dc.type | Article | |
