𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The number of limit cycles of a quintic polynomial system with center

✍ Scribed by Ali Atabaigi; Nemat Nyamoradi; Hamid R.Z. Zangeneh

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
613 KB
Volume
71
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A quintic polynomial differential system
A quintic polynomial differential system with eleven limit cycles at the infinity
✍ Qi Zhang; Yirong Liu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 225 KB

In this article, a recursion formula for computing the singular point quantities of the infinity in a class of quintic polynomial systems is given. The first eleven singular point quantities are computed with the computer algebra system Mathematica. The conditions for the infinity to be a center are

The number of limit cycles for a family
The number of limit cycles for a family of polynomial systems
✍ Guanghui Xiang; Maoan Han; Tonghua Zhang πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 441 KB

In thin paper~ the number of hmlt cycles m a family of polynomial systems was studmd by the bifurcation methods With the help of a computer algebra system (e.g., MAPLE 7 0), we obtain that the least upper bound for the number of hmlt cycles appearing m a global bifurcation of systems (2.1) and ( 2.2

Bifurcation of limit cycles at the equat
Bifurcation of limit cycles at the equator for a class of polynomial differential system
✍ Qi Zhang; Gui Weihua; Yirong Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 391 KB

In this paper, center conditions and bifurcation of limit cycles from the equator for a class of polynomial system of degree seven are studied. The method is based on converting a real system into a complex system. The recursion formula for the computation of singular point quantities of complex sys