Large amplitude oscillations for a class of symmetric polynomial differential systems in R³

In this paper we study a class of symmetric polynomial differential systems in R³, which has a set of parallel invariant straight lines, forming degenerate heteroclinic cycles, which have their two singular endpoints at infinity. The global study near infinity is performed using the Poincaré compact...

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Bibliographic Details
Main Authors: Jaume Llibre, Marcelo Messias
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2007-12-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652007000400001