| dc.creator | Mardešić, Pavao | |
| dc.creator | Saavedra, Mariana | |
| dc.creator | Uribe, Marco | |
| dc.date | 2015-11-24T20:35:46Z | |
| dc.date | 2015-11-24T20:35:46Z | |
| dc.date | 2012 | |
| dc.identifier | Bulletin des Sciences Mathématiques 136 | |
| dc.identifier | 0007-4497 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/508 | |
| dc.description | Artículo de publicación ISI | |
| dc.description | In this paper we investigate planar polynomial multi-parameter deformations of Hamiltonian vector fields. We study first all coefficients in the development of the displacement function on a transversal to the period annulus. We show that they can be expressed through iterated integrals, whose length is bounded by the degree of the monomials.
A second result expresses the principal terms in the division of the displacement function in the Bautin ideal. More precisely, the principal terms in its division in a reduced basis of the Bautin ideal are given by iterated integrals. Our approach is algorithmic and generalizes Françoise algorithm for one-parameter families. | |
| dc.language | en | |
| dc.publisher | Elsevier | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | http://goo.gl/CtbbnM | |
| dc.subject | Limit cycles | |
| dc.subject | displacement function | |
| dc.subject | abelian integrals | |
| dc.subject | iterated integrals | |
| dc.subject | bautin ideal | |
| dc.subject | standard basis | |
| dc.subject | melnikov functions | |
| dc.title | Principal part of multi-parameter displacement functions | |
| dc.type | Artículos de revistas | |
