The period function of classical Liénard equations

DOI10.1016/j.jde.2006.09.015zbMath1121.34046OpenAlexW1987272908MaRDI QIDQ868833

Freddy Dumortier, Peter De Maesschalck

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.09.015

zbMATH Keywords

singular perturbationcenterperiod functioncritical periodsclassical Liénard equationslow--fast system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Relaxation oscillations for ordinary differential equations (34C26)

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Cites Work

• Polynomial Liénard equations near infinity
• Putting a boundary to the space of Liénard equations
• Time analysis and entry-exit relation near planar turning points
• Compactification and desingularization of spaces of polynomial Liénard equations
• Bifurcation of Critical Periods for Plane Vector Fields
• Finiteness for critical periods of planar analytic vector fields
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