The criticality of reversible quadratic centers at the outer boundary of its period annulus

DOI10.1016/j.jde.2022.05.026zbMath1501.34032arXiv2203.12966OpenAlexW4281789852MaRDI QIDQ2148940

David Marin Perez, Jordi Villadelprat

Publication date: 24 June 2022

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

Full work available at URL: https://arxiv.org/abs/2203.12966

zbMATH Keywords

criticalityasymptotic expansionHilbert's 16th problemperiod functioncritical periodic orbit

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) Symmetries, invariants of ordinary differential equations (34C14) 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) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Uses Software

• Maple

Cites Work

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