Indestructible dynamics of torus maps
نویسندگان
چکیده
Given a d-dimensional torus map F (z) = Mz + G(z) mod 1, where M is an integer-matrix and and G is a periodic function, we find conditions on M under which F is semi-conjugate to a linear torus map, independently of G. We also find a conditions G under which these semi-conjugacies can be turned into conjugacies. These conditions are satisfied by open sets of torus maps (in the C1-topology) and therefore describe some asymptotic behavior of trajectories which are stable under perturbations to the map.
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