On the number of limit cycles in piecewise linear Liénard systems
Résumé
In a previous paper [Tonnelier, 2002] we conjectured that a Liénard system of the form x' = p(x) − y, y' = x where p is piecewise linear on n + 1 intervals has up to 2n limit cycles. We construct here a general class of functions p satisfying this conjecture. Limit cycles are obtained from the bifurcation of the linear center.
Domaines
Systèmes dynamiques [math.DS]
Origine : Fichiers produits par l'(les) auteur(s)
Loading...