Título:
|
Analytic tools to bound the criticality at the outer boundary of the period annulus
|
Autor/a:
|
Mañosas Capellades, Francesc; Rojas, David; Villadelprat Yagüe, Jordi
|
Abstract:
|
In this paper we consider planar potential differential systems and we study the bifurcation of critical periodic orbits from the outer boundary of the period annulus of a center. In the literature the usual approach to tackle this problem is to obtain a uniform asymptotic expansion of the period function near the outer boundary. The novelty in the present paper is that we directly embed the derivative of the period function into a collection of functions that form a Chebyshev system near the outer boundary. We obtain in this way explicit sufficient conditions in order that at most n 0 critical periodic orbits bifurcate from the outer boundary. These theoretical results are then applied to study the bifurcation diagram of the period function of the family ẍ= xp − xq , p, q ∈ R with p > q. |
Materia(s):
|
-Bifurcation -Center -Chebyshev system -Critical periodic orbit -Criticality -Period function |
Derechos:
|
open access
Tots els drets reservats.
https://rightsstatements.org/vocab/InC/1.0/ |
Tipo de documento:
|
Article |
Editor:
|
|
Compartir:
|
|
Uri:
|
https://ddd.uab.cat/record/199343
|