Principal Poincaré Pontryagin Function associated to some families of Morse real polynomials

dc.creator	Pelletier, M.
dc.creator	Uribe, Marco
dc.date	2015-11-12T16:19:09Z
dc.date	2015-11-12T16:19:09Z
dc.date	2014
dc.identifier	Nonlinearity 27
dc.identifier	1361-6544
dc.identifier	http://repositoriodigital.ucsc.cl/handle/25022009/266
dc.description	Artículo de publicación ISI
dc.description	It is known that the Principal Poincar´e Pontryagin Function is generically an Abelian integral. We give a sufficient condition on monodromy to ensure that it is an Abelian integral also in non generic cases. In non generic cases it is an iterated integral. Uribe [17, 18] gives in a special case a precise description of the Principal Poincar´e Pontryagin Function, an iterated integral of length at most 2, involving logarithmic functions with only one ramification at a point at infinity. We extend this result to some non isodromic families of real Morse polynomials.
dc.language	en
dc.publisher	arxiv.org
dc.source	http://goo.gl/knRFfE
dc.subject	Perturbation
dc.subject	First return map
dc.subject	Iterated integrals
dc.subject	Monodromy
dc.subject	Stratification
dc.title	Principal Poincaré Pontryagin Function associated to some families of Morse real polynomials
dc.type	Artículos de revistas