Cyclicity versus center problem

Gasull i Embid, Armengol; Giné, Jaume

doi:https://doi.org/10.1007/s12346-010-0022-9

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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.

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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