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arXiv · 2304.05739

Further elements on hypernormal forms of non-resonant double Hopf singularities

Majid Gazor·Boumediene Hamzi·Ahmad Shoghi
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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.

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Majid Gazor, Boumediene Hamzi, Ahmad Shoghi. 2023-04-12. Further elements on hypernormal forms of non-resonant double Hopf singularities. https://arxiv.org/abs/2304.05739

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