A note on the box dimension of degenerate foci
Dynamical Systems
2017-05-02 v1
Abstract
We study polynomial planar systems with singularity of focus type without characteristic directions. Simple and natural transformation of weak focus has been used to obtain such degenerate focus. We compute the box dimension of a spiral trajectory, and show connection to cyclicity of the system under a perturbation.
Keywords
Cite
@article{arxiv.1705.00372,
title = {A note on the box dimension of degenerate foci},
author = {Domagoj Vlah and Darko Zubrinic and Vesna Zupanovic},
journal= {arXiv preprint arXiv:1705.00372},
year = {2017}
}