Home > Articles > Published articles > The criticality of centers of potential systems at the outer boundary |
Date: | 2016 |
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. |
Grants: | Ministerio de Educación y Ciencia MTM2014-52209-C2-P |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Bifurcation ; Center ; Critical periodic orbit ; Criticality ; Period function |
Published in: | Journal of differential equations, Vol. 260 (2016) , p. 4918-4972, ISSN 1090-2732 |
Postprint 41 p, 612.7 KB |