2 papers
math.DS2024
Depinning of discommensurations for tilted Frenkel-Kontorova chains
Claude Baesens, Robert S. MacKay, Wen-Xin Qin
For an untilted Frenkel-Kontorova chain and any rational , Aubry and Mather proved there are minimising equilibrium states that are left- and right-asymptotic to neighbouring…
math.DS2022
Example of simplest bifurcation diagram for a monotone family of vector fields on a torus
Claude Baesens, Marc Homs-Dones, Robert S. MacKay
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…