Further elements on hypernormal forms of non-resonant double Hopf singularities
Classical Analysis and ODEs
2023-04-13 v1
Abstract
In this paper, we deal with hypernormal forms of non-resonant double Hopf singularities. We investigate the infinite level normal form classification of such singularities with nonzero radial cubic part. We provide a normal form decomposition of normal form vector fields in terms of planar-rotating and planar-radial vector fields. These facilitate the pattern recognition and analysis of the corresponding generalized homological maps. This paper is the first instance of the normal form classification for generic non-resonant double Hopf singularities without structural symmetry.
Keywords
Cite
@article{arxiv.2304.05739,
title = {Further elements on hypernormal forms of non-resonant double Hopf singularities},
author = {Majid Gazor and Boumediene Hamzi and Ahmad Shoghi},
journal= {arXiv preprint arXiv:2304.05739},
year = {2023}
}