The criticality of centers of potential systems at the outer boundary

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Title:	The criticality of centers of potential systems at the outer boundary
Author:	Mañosas Capellades, Francesc; Rojas, David; Villadelprat Yagüe, Jordi
Abstract:	The number of critical periodic orbits that bifurcate from the outer boundary of a potential center is studied. We call this number the criticality at the outer boundary. Our main results provide sufficient conditions in order to ensure that this number is exactly 0 and 1. We apply them to study the bifurcation diagram of the period function of X = −y∂ x ((x 1) p − (x 1) q )∂ y with q < p. This family was previously studied for q = 1 by Y. Miyamoto and K. Yagasaki.
Subject(s):	-Bifurcation -Center -Critical periodic orbit -Criticality -Period function
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/169462