Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: coefficient properties

DOI10.1016/j.jde.2024.05.037zbMath1545.34038MaRDI QIDQ6564434

Jordi Villadelprat, David Marin Perez

Publication date: 1 July 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionDulac mapDulac timeincomplete Mellin transform

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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