1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2024
A Maximum Modulus Theorem for functions admitting Stokes phenomena, and specific cases of Dulac's Theorem
Jesús Palma-Márquez, Melvin Yeung
We study large classes of real-valued analytic functions that naturally emerge in the understanding of Dulac's problem, which addresses the finiteness of limit cycles in planar dif…
math.DS2024★ 1 cited
Natural levels in return maps of elementary polycycles
Melvin Yeung
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 an…
math.DS2024
On the monograph "Finiteness Theorems for limit cycles" and a special case of alternant cycles
Melvin Yeung
We provide evidence that the approach of [Ilyashenko 1991] to the proof of Dulac's theorem has a gap. Although the asymptotics of [Ilyashenko 1991] capture far more than the asympt…