The displacement map associated to polynomial perturbations of some nongeneric Hamiltonians

Autor:	Pelletier, Michele, Uribe, Marco
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems 34M35 34C08 14D05
Druh dokumentu:	Working Paper
Popis:	It is known that the Principal Poincar\'e Pontryagin Function is generically an Abelian integral. In non generic cases it is an iterated integral. In previous papers one of the authors gives a precise description of the Principal Poincar\'e Pontryagin Function, an iterated integral af length at most 2, involving a logarithmic function with only one ramification at a point at infinity. We show here that this property can be generalized to Hamiltonians having real points at infinity and satisfying some properties. Comment: Withdrawn and replaced by a new paper
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.4021 Zobrazit plný text záznamu View this record from Arxiv