Analytic Tools to Bound the Criticality at the Outer Boundary of the Period Annulus
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-016-9559-x
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… read more here.
Keywords: period function; outer boundary; analytic tools; period ... See more keywords
Study of the period function of a two-parameter family of centers☆
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.02.054
Abstract: Abstract In this paper we study the period function of x ¨ = ( 1 + x ) p − ( 1 + x ) q , with p , q ∈ R and p… read more here.
Keywords: period function; family; period; study period ... See more keywords
Period function of planar turning points
Sign Up to like & getrecommendations! Published in 2021 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2021.1.16
Abstract: This paper is devoted to the study of the period function of planar generic and non-generic turning points. In the generic case (resp. non-generic) a non-degenerate (resp. degenerate) center disappears in the limit e →… read more here.
Keywords: planar turning; period function; function planar; turning points ... See more keywords