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arXiv · 2409.13630

Natural levels in return maps of elementary polycycles

Melvin Yeung
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Abstract

We will provide a proof of a known specific case of Dulac's Theorem in the style of Ilyashenko. From this we derive a quasi-analyticity result for some return maps of polycycles and we give a Structural Theorem for the formal asymptotics of such a polycycle.

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Melvin Yeung. 2024-09-20. Natural levels in return maps of elementary polycycles. https://arxiv.org/abs/2409.13630

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