dc.contributor.author |
Mañosas Capellades, Francesc |
dc.contributor.author |
Rojas, David |
dc.contributor.author |
Villadelprat Yagüe, Jordi |
dc.date |
2018 |
dc.identifier |
https://ddd.uab.cat/record/199343 |
dc.identifier |
10.1007/s10884-016-9559-x |
dc.identifier |
oai:ddd.uab.cat:199343 |
dc.identifier |
4398 |
dc.identifier |
15729222v30n3p883 |
dc.identifier |
84994358610 |
dc.identifier |
000441361900001 |
dc.identifier |
oai:egreta.uab.cat:publications/6db41206-5716-4354-8a20-520857c91179 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad MTM2014-52209-C2-1-P |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca FI/DGR2014 |
dc.relation |
Journal of dynamics and differential equations ; Vol. 30, issue 3 (Sep. 2018), p. 883-909 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Bifurcation |
dc.subject |
Center |
dc.subject |
Chebyshev system |
dc.subject |
Critical periodic orbit |
dc.subject |
Criticality |
dc.subject |
Period function |
dc.title |
Analytic tools to bound the criticality at the outer boundary of the period annulus |
dc.type |
Article |
dc.description.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. |