التفاصيل البيبلوغرافية
| العنوان: |
Global dynamics of planar quasi-homogeneous differential systems |
| المؤلفون: |
Tang, Yilei, Zhang, Xiang |
| سنة النشر: |
2017 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Dynamical Systems |
| الوصف: |
In this paper we provide a new method to study global dynamics of planar quasi--homogeneous differential systems. We first prove that all planar quasi--homogeneous polynomial differential systems can be translated into homogeneous differential systems and show that all quintic quasi--homogeneous but non--homogeneous systems can be reduced to four homogeneous ones. Then we present some properties of homogeneous systems, which can be used to discuss the dynamics of quasi--homogeneous systems. Finally we characterize the global topological phase portraits of quintic quasi--homogeneous but non--homogeneous differential systems. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/1708.03437 |
| رقم الانضمام: |
edsarx.1708.03437 |
| قاعدة البيانات: |
arXiv |