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Cyclicity versus center problem
Gasull i Embid, Armengol; Giné, Jaume
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.
2010
Polynomial differential system
Focal quantities
Lyapunov constants
Cyclicity
Polinomis
open access
(c) Springer, 2010
article
Springer
         

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