Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774679 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus. This new concept is useful in order to study the number of 2-periodic orbits that can bifurcate from the fixed point. As an application we study the 2-cyclicity of some natural families of polynomial maps.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Anna Cima, Armengol Gasull, VÃctor Mañosa,