Cyclicity versus center problem

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Issue date
2010Suggested citation
Gasull i Embid, Armengol;
Giné, Jaume;
.
(2010)
.
Cyclicity versus center problem.
Qualitative Theory of Dynamical Systems, 2010, vol. 9, núm. 1-2, p. 101-113.
https://doi.org/10.1007/s12346-010-0022-9.
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Show full item recordAbstract
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.