3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DS2014★ 3 cited
Asymptotics in a family of linked strip maps
Heather Reeve-Black, Franco Vivaldi
We apply round-off to planar rotations, obtaining a one-parameter family of invertible maps of a two-dimensional lattice. As the angle of rotation approaches pi/2, the fourth itera…
math.DS2014
Near-integrable behaviour in a family of discretised rotations
Heather Reeve-Black
We consider a one-parameter family of invertible maps of a two-dimensional lattice, obtained by applying round-off to planar rotations. All orbits of these maps are conjectured to…
math.DS2012
Near-integrable behaviour in a family of discretised rotations
Heather Reeve-Black, Franco Vivaldi
We consider a one-parameter family of invertible maps of a two-dimensional lattice, obtained by discretising the space of planar rotations. We let the angle of rotation approach $π…