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pro vyhledávání: '"Yeung, Melvin"'
Autor:
Palma-Márquez, Jesús, Yeung, Melvin
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 differential equations. Building on a Maximum Modulus-type result we got,
Externí odkaz:
http://arxiv.org/abs/2410.07532
Autor:
Yeung, Melvin
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 po
Externí odkaz:
http://arxiv.org/abs/2409.13630
Autor:
Yeung, Melvin
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 asymptotics of Dulac, we prove that the arguments for why the asymptotics in
Externí odkaz:
http://arxiv.org/abs/2402.12506