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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.
-Polynomial differential system
-Focal quantities
-Lyapunov constants
-Cyclicity
-Polinomis
(c) Springer, 2010
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