Flow
Flow is a real-time nonlinear equation solver that we first developed as the Dynamics Toolkit. It is designed for exploring dynamical systems with specialized tools to visualize chaotic behaviors, pattern emergence, and mathematical structures. Flow is currently being substantially revised and will not be ready for release until summer or fall 2012. The older Dynamics Toolkit can be downloaded here.
Flow was demonstrated as part of the Macroscope at Maker Faire 2012. See some videos on YouTube.