Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets
Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets
Abstract We investigate the implications of transverse homoclinic orbits to fixed points in dissipative diffeomorphisms of the annulus. We first recover a result due to Aronson et al. [3]: that certain such ‘rotary’ orbits imply the existence of an interval of rotation numbers in the rotation set of the diffeomorphism. …