Bifurcation of 2-periodic orbits from non-hyperbolic fixed points
Dynamical Systems
2018-01-15 v1
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.
Cite
@article{arxiv.1707.06404,
title = {Bifurcation of 2-periodic orbits from non-hyperbolic fixed points},
author = {Anna Cima and Armengol Gasull and Víctor Mañosa},
journal= {arXiv preprint arXiv:1707.06404},
year = {2018}
}
Comments
22 pages