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On persistent centers Export

Bulletin des Sciences Mathématiques, Vol. 133, No. 6. (September 2009), pp. 644-657.

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limit_cycles polynomial_vector_fields

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For real planar autonomous analytic differential equations we introduce the notion of persistent center and show a list of equations with this property. We face the problem of whether our list is exhaustive or not and we prove that it is for several families of planar systems, like cubic or rigid systems.


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