  A technique is introduced which allows to generate -- starting from any
solvable discrete-time dynamical system involving N time-dependent variables --
new, generally nonlinear, generations of discrete-time dynamical systems, also
involving N time-dependent variables and being as well solvable by algebraic
operations (essentially by finding the N zeros of explicitly known polynomials
of degree N). The dynamical systems constructed using this technique may also
feature large numbers of arbitrary constants, and they need not be autonomous.
The solvable character of these models allows to identify special cases with
remarkable time evolutions: for instance, isochronous or asymptotically
isochronous discrete-time dynamical systems. The technique is illustrated by a
few examples.
