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Cyclicity versus center problem

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Preprint (190.7Kb)
Issue date
2010
Author
Gasull i Embid, Armengol
Giné, Jaume
Suggested 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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Abstract
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.
URI
http://hdl.handle.net/10459.1/41483
DOI
https://doi.org/10.1007/s12346-010-0022-9
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Qualitative Theory of Dynamical Systems, 2010, vol. 9, núm. 1-2, p. 101-113
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