Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting

DOI10.1016/j.jde.2020.11.020zbMath1467.37030OpenAlexW3128454324MaRDI QIDQ828315

David Marin Perez, Jordi Villadelprat

Publication date: 8 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2020.11.020

zbMATH Keywords

criticalityasymptotic expansionDulac mapDulac timeuniform flatness

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) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Periodic orbits of vector fields and flows (37C27) Stability theory for smooth dynamical systems (37C75)

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