Asymptotic lower bounds on Hilbert numbers using canard cycles

Autor:	P. De Maesschalck, M.J. Álvarez, R. Prohens, B. Coll
Rok vydání:	2020
Předmět:	Pure mathematics Work (thermodynamics) Polynomial Applied Mathematics 010102 general mathematics Order (ring theory) Differential systems 01 natural sciences Upper and lower bounds 010101 applied mathematics Planar 0101 mathematics Analysis Hilbert number Mathematics
Zdroj:	Journal of Differential Equations. 268:3370-3391
ISSN:	0022-0396
DOI:	10.1016/j.jde.2019.09.057
Popis:	In this work we give an asymptotic lower bound for the Hilbert number for real planar polynomial differential systems. This lower bound equals, up to leading order, to the best existing one, but the method we provide is new and involves slow-fast systems. The construction strongly relies on generalized Lienard systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::203009b9e3d00f3facdb1557b5da9a81 https://doi.org/10.1016/j.jde.2019.09.057 Zobrazit plný text záznamu Full Text from ScienceDirect