Cyclicity versus Center Problem

نویسنده

  • ARMENGOL GASULL
چکیده

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.

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تاریخ انتشار 2008