This paper describes a method of symplectic ray tracing
for calculating the flows of non-linear dynamical systems.
Symplectic ray tracing method traces the path of photons
moving along the orbit calculated by using Hamilton's canonical equation. Using this method, we can simulate non-linear dynamical systems with various dimensions, accurate calculation, and quick
implementation of scientif visualization system. This paper also demonstrates some visualization results of non-linear dynamical systems computed by using symplectic ray tracing method.