Invariant sets for discontinuous parabolic area-preserving torus maps
Invariant sets for discontinuous parabolic area-preserving torus maps
We analyse a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in each component. We show that within this two-parameter family of maps, the set of non-invertible maps is open and dense. For …