The criticality of centers of potential systems at the outer boundary

DOI10.1016/j.jde.2015.11.040zbMath1334.34076OpenAlexW2219235371MaRDI QIDQ907790

N. E. Zubov

Publication date: 26 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.11.040

zbMATH Keywords

bifurcationcentercritical period

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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)

Related Items (10)

The criticality of reversible quadratic centers at the outer boundary of its period annulus ⋮ Study of the period function of a two-parameter family of centers ⋮ Asymptotic development of an integral operator and boundedness of the criticality of potential centers ⋮ On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator ⋮ A criticality result for polycycles in a family of quadratic reversible centers ⋮ Periodic oscillators, isochronous centers and resonance ⋮ Analytic tools to bound the criticality at the outer boundary of the period annulus ⋮ Criticality via first order development of the period constants ⋮ New lower bounds of the number of critical periods in reversible centers ⋮ The period function of reversible Lotka-Volterra quadratic centers

Cites Work

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