Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations

In this paper we study singular perturbation problems occuring in planar slow-fast systems. We distinguish between slow-fast elliptic and slow-fast saddle bifurcations of codimension 3. These bifurcations are singular limits of well-known codimension 3 bifurcations. In this paper we focus on the appearance of small-amplitude limit cycles, using tools from geometric singular perturbation theory, including blow-up.

Jaar van publicatie:2013

Trefwoorden:slow-fast system, singular perturbations, slow-divergence integral, limit cycle, blow-up

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:6

CSS-citation score:2

Authors from:Higher Education

Toegankelijkheid:Closed