Slow divergence integrals in generalized Liénard equations near centers

DOI10.14232/ejqtde.2014.1.66zbMath1324.34075OpenAlexW96489294MaRDI QIDQ5251023

Renato Huzak, Peter De Maesschalck

Publication date: 22 May 2015

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

Full work available at URL: http://www.math.u-szeged.hu/ejqtde/p3307.pdf

zbMATH Keywords

limit cyclesgeneralized Liénard equationsslow divergence integralslowfast systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (5)

On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation ⋮ Normal forms of Liénard type for analytic unfoldings of nilpotent singularities ⋮ Minkowski dimension and slow-fast polynomial Liénard equations near infinity ⋮ Asymptotic lower bounds on Hilbert numbers using canard cycles ⋮ The number of limit cycles for regularized piecewise polynomial systems is unbounded

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