The role of the saddle-foci on the structure of a Bykov attracting set

Mario Bessa, Maria Carvalho, Alexandre A. P. Rodrigues

We consider a one-parameter family $(f_{\lambda }{)}_{\lambda ⩾0}$ of symmetric vector fields on the three-dimensional sphere ${\mathbb{S}}^3\subset {\mathbb{R}}^4$ whose flows exhibit a h…