Cyclicity versus center problem
| Data(s) |
2010
|
|---|---|
| Resumo |
We prove that there are one-parameter families of planar differential equations for which the center problem has a trivial solution and on the other hand the cyclicity of the weak focus is arbitrarily high. We illustrate this phenomenon in several examples for which this cyclicity is computed. |
| Identificador | |
| Idioma(s) |
eng |
| Publicador |
Springer |
| Relação |
Versió preprint del document publicat a http://dx.doi.org/10.1007/s12346-010-0022-9 Qualitative Theory of Dynamical Systems, 2010, vol. 9, núm. 1-2, p. 101-113 |
| Direitos |
open access (c) Springer, 2010 |
| Palavras-Chave | #Polynomial differential system #Focal quantities #Lyapunov constants #Cyclicity #Polinomis |
| Tipo |
article |
