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Slow Divergence Integrals in Classical Li,nard Equations Near Centers

Tijdschriftbijdrage - Tijdschriftartikel

We significantly improve lower bounds for the number of limit cycles for polynomial classical Li,nard equations, aiming at stating lower bounds that are reasonable enough to be optimal. The techniques used are the notion of slow divergence integral from the geometric theory of planar slow-fast systems.
Tijdschrift: Journal of Dynamics and Differential Equations
ISSN: 1040-7294
Issue: 1
Volume: 27
Pagina's: 177 - 185
Jaar van publicatie:2015
Trefwoorden:Classical Lienard equations, Limit cycles, Singular perturbations, Slow-fast systems, Slow divergence integral, classical Liénard equations, limit cycles, singular perturbations, slow-fast systems, slow divergence integral
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:3
CSS-citation score:2
Authors from:Higher Education
Toegankelijkheid:Closed