تقرير
One-dimensional Piecewise Smooth Rational Degree Maps
| العنوان: | One-dimensional Piecewise Smooth Rational Degree Maps |
|---|---|
| المؤلفون: | Lima, Maurício Firmino Silva, Perdigão, Tiago Rodrigo |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems |
| الوصف: | In this paper, we consider a class of continuous maps characterized by a singularity of order $x^{q/p}$ (with $p,q \in \mathbb{N}$, $p>q$, and $(p,q)=1$) on one side of the discontinuity boundary $\Sigma$ and a linear behaviour on the other side. Such maps arise naturally in the study of grazing bifurcations of hybrid and piecewise flows. In this context the boundary collision of a fixed point of the map with $\Sigma$ then corresponds to a grazing bifurcation of the flow. We will start by studying one-dimensional maps, and the main result of this paper is a classification of all bifurcation scenarios, including: period doubling and robust chaos. Comment: 18 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.02782 |
| رقم الأكسشن: | edsarx.2407.02782 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |