Iteration of quasiregular tangent functions in three dimensions
  We define a new quasiregular mapping T in three dimensions that generalizes the tangent function on the complex plane and shares a number of its geometric properties. We investigate the dynamics of the family \lambda T for \lambda>0, establishing results analogous to those of Devaney and Keen for the meromorphic family \lambda tan z, \lambda>0, although the methods used are necessarily original. 
Alastair N. Fletcher, Daniel A. Nicks
math.DS math.CV