Principal Poincar\'e Pontryagin Function associated to some families of Morse real polynomials

Autor:	Pelletier, Michele, Uribe, Marco
Rok vydání:	2013
Předmět:	Mathematics - Dynamical Systems 34M35 34C08 14D05
Druh dokumentu:	Working Paper
DOI:	10.1088/0951-7715/27/2/257
Popis:	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. Comment: arXiv admin note: substantial text overlap with arXiv:1104.4021
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.1729 Zobrazit plný text záznamu View this record from Arxiv