Below are animations that illustrate the macroscopic states identified in the paper:
T.B. Luke, E. Barreto, and P. So, "Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons", Neural Computation 25, 3207-3234 (2013). Journal link
The Partially Synchronous Rest (PSR) state
The Partially Synchronous Spiking (PSS) state
The Collective Periodic Wave (CPW) state