Example of simplest bifurcation diagram for a monotone family of vector fields on a torus

Abstract

We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of "simplest" diagrams proposed by Baesens & MacKay (2018 Nonlinearity 31 2928--81). This shows that the proposed class is realisable.

30 pages, 8 figures