Let’s say there are some hyperbolas:
and points are told to flow along the hyperbolic curves. I’ve read about horocyclic flow on the space of unit lattices.
I think it would make sense to use matrices to apply a linear transformation acting on the space of unit lattices to achieve a flow of constant speed.
Q: Is it possible to use matrices to describe the dynamics of points that flow at different speeds along the curves? Are matrices equipped to deal with such flows?
Context: