𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quadratic systems with maximum number of limit cycles

✍ Scribed by L. A. Cherkas


Book ID
110158629
Publisher
Springer
Year
2009
Tongue
English
Weight
395 KB
Volume
45
Category
Article
ISSN
0012-2661

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Limit cycles of quadratic systems
✍ Valery A. Gaiko πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 266 KB

In this paper, the global qualitative analysis of planar quadratic dynamical systems is established and a new geometric approach to solving Hilbert's Sixteenth Problem in this special case of polynomial systems is suggested. Using geometric properties of four field rotation parameters of a new canon

Uniqueness of Algebraic Limit Cycles for
✍ Javier Chavarriga; Hector Giacomini; Jaume Llibre πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 102 KB

We know five different families of algebraic limit cycles in quadratic systems, one of degree 2 and four of degree 4. Moreover, if there are other families of algebraic limit cycles for quadratic systems, then their degrees must be larger than 4. It is known that if a quadratic system has an algebra

Limit cycles bifurcate from centers of d
✍ Xingwu Chen; Zhengdong Du πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 391 KB

a b s t r a c t Like for smooth quadratic systems, it is important to determine the maximum order of a fine focus and the cyclicity of discontinuous quadratic systems. Previously, examples of discontinuous quadratic systems with five limit cycles bifurcated from a fine focus of order 5 have been con