A hyperbolic linear map with integer entries in the transformation matrix and determinant is an Anosov diffeomorphism of the -torus, called an Anosov automorphism (or hyperbolic automorphism). Here, the term automorphism is used in the group theory sense.
Anosov Automorphism
See also
Anosov DiffeomorphismExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Anosov Automorphism." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AnosovAutomorphism.html