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Publicatie

BIFURCATIONS OF MULTIPLE RELAXATION OSCILLATIONS IN POLYNOMIAL LIENARD EQUATIONS

Tijdschriftbijdrage - Tijdschriftartikel

In this paper, we prove the presence of limit cycles of given multiplicity, together with a complete unfolding, in families of (singularly perturbed) polynomial Lienard equations. The obtained limit cycles are relaxation oscillations. Both classical Lienard equations and generalized Lienard equations are treated.
Tijdschrift: Proceedings of the American Mathematical Society
ISSN: 0002-9939
Issue: 6
Volume: 139
Pagina's: 2073 - 2085
Jaar van publicatie:2011
Trefwoorden:Slow-fast system, singular perturbations, limit cycles, relaxation oscillation, polynomial Lienard equations, elementary catastrophy, slow-fast system
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:1
CSS-citation score:2
Authors from:Higher Education
Toegankelijkheid:Closed