تقرير
Quartic rigid systems in the plane and in the Poincar\'e sphere
| العنوان: | Quartic rigid systems in the plane and in the Poincar\'e sphere |
|---|---|
| المؤلفون: | Álvarez, M. J., Bravo, J. L., Calderón, L. A. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Mathematics - Classical Analysis and ODEs |
| الوصف: | We consider the planar family of rigid systems of the form $x'=-y+xP(x,y), y'=x+yP(x,y)$, where $P$ is any polynomial with monomials of degree one and three. This is the simplest non-trivial family of rigid systems with no rotatory parameters. The family can be compactified to the Poincar\'e sphere such that the vector field along the equator is not identically null. We study the centers, singular points and limit cycles of that family on the plane and on the sphere. Comment: 19 pages, 10 figures |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2310.05509Test |
| رقم الانضمام: | edsarx.2310.05509 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |