pith. sign in

arxiv: 1705.00372 · v1 · pith:AP3SJMPOnew · submitted 2017-04-30 · 🧮 math.DS

A note on the box dimension of degenerate foci

classification 🧮 math.DS
keywords focusdegeneratedimensionbeencharacteristiccomputeconnectioncyclicity
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.