2 papers
math.DS2017
Affine map equivalence versus critical set equivalence for quadratic maps of the plane
Chia-Hsing Nien, Bruce B. Peckham, Richard P. McGehee
In recent work [Nien et al. 2016], the authors enumerated a classification of quadratic maps of the plane according to their critical sets and images. It is straightforward to show…
math.DS2015
Classification of critical sets and their images for quadratic maps of the plane
Chia-Hsing Nien, Bruce B. Peckham, Richard P. McGehee
We provide a complete classification of the critical sets and their images for quadratic maps of the real plane. Critical sets are always conic sections, which provides a starting…