The catmap project

The theory

What's a catmap?

What I call a catmap is a generalized version of the discrete Arnold's cat map, a transformation that is defined by the formulas $x_{n+1} = (2x_n + y_n)mod X$ and $y_{n+1} = (x_n + y_n) mod X$. This project, however, uses a much more generalized definition: $x_{n+1} = f(x_n, y_n) mod X$ and $y_{n+1} = g(x_n, y_n) mod Y$. Notice how the second X is replaced by another value, Y, which causes the map to lose some of its normally chaotic properties under certain conditions, which is not describe

TBD