𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Number and Location of Limit Cycles in a Class of Perturbed Polynomial Systems

✍ Scribed by Chen-xi Yang1; Rui-qi Wang

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
314 KB
Volume
20
Category
Article
ISSN
0168-9673

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

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

Stability and bifurcations of limit cycl
Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems
✍ Yirong Liu; Haibo Chen πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 717 KB

In this paper, we study the appearance of limit cycles from the equator in a class of cubic polynomial vector fields with no singular points at infinity and the stability of the equator of the systems. We start by deducing the recursion formula for quantities at infinity in these systems, then speci

Separatrix Cycles and Multiple Limit Cyc
Separatrix Cycles and Multiple Limit Cycles in a Class of Quadratic Systems
✍ A. Zegeling πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 994 KB

In this paper a class of quadratic systems is studied. By quadratic systems we mean autonomous quadratic vector fields in the plane. The class under consideration is class \(\mathrm{II}_{n=0}\) in the Chinese classification of quadratic systems. Bifurcation sets \(\delta=\delta^{*}(l, m)(m>2, l>0)\)