Chaotic advection in pulsed source-sink systems

Pulsed operation of a source and a sink is a classic approach to generating chaotic advection in the unbounded plane. This approach provides motivation for mixing laminar flows in high-aspect-ratio volumes using an arrangement of sources and sinks. In these bounded systems the sources and sinks must operate in pairs in order to conserve volume. When the sources and sinks are arranged on the boundary of a circular domain, particle motions are given explicitly by a discrete mapping. We use this mapping to explore the optimal operating parameters for producing chaos in pulsed source-sink systems.