Omitted stimulus response (OSR) is one of evidences of rhythmic memory.
Paper on the phenomena:

Schwartz, Greg, Rob Harris, David Shrom, and Michael J Berry. “Detection and Prediction of Periodic Patterns by the Retina.” Nature Neuroscience 10, no. 5 (April 22, 2007): 552–54. doi:10.1038/nn1887.

Some model of LRC circuit:

Schreiber, Thomas. “Measuring Information Transfer.” Physical Review Letters 85, no. 2 (July 10, 2000): 461–64.
doi:10.1103/PhysRevLett.85.461.

Tsodyks, Misha, Asher Uziel, and Henry Markram. “Synchrony Generation in Recurrent Networks with Frequency-Dependent Synapses.” Journal of Neuroscience 20, no. 1 (January 1, 2000): RC50.
http://www.jneurosci.org/cgi/content/abstract/20/1/RC50

This is the original paper describing the 3-state cycle of neural transmitter for synaptic transmission. An extension to include a forth, super inactive state, is given in the paper: