Enhancing the Visualization of Characteristic Structures in Dynamical Systems

We present a thread of streamlets as a new technique to visualize dynamical systems in three-space. A trade-oo is made between solely visualizing a mathematical abstraction through lower-dimensional manifolds, i.e., characteristic structures such as xed point, separatrices, etc., and directly encoding the ow through stream lines or stream surfaces. Bundlers of streamlets are selectively placed near characteristic trajectories. An overpopulation of phase space with occlusion problems as a consequence is omitted. On the other hand, information loss is minimized since characteristic structures of the ow are still illustrated in the visualization.