|
Title:
|
Cyclicity versus center problem
|
|
Author:
|
Gasull i Embid, Armengol; Giné, Jaume
|
|
Abstract:
|
We prove that there are one-parameter families of planar differentialequations for which the center problem has a trivial solution and on the other handthe cyclicity of the weak focus is arbitrarily high. We illustrate this phenomenonin several examples for which this cyclicity is computed. |
|
Publication date:
|
2012-09-26 |
|
Subject(s):
|
Polynomial differential system Focal quantities Lyapunov constants Cyclicity Polinomis |
|
Rights:
|
(c) Springer, 2010
open access |
|
Document type:
|
preprint submittedVersion |
|
Share:
|
|