Abstract
To examine a possible biological mechanism for a cognitive timer, the stochastic dynamics of a network of neurons possessing two stable states (“on” and “off” states) is studied. The fraction of on neurons existing at remains large for an extended interval, and then abruptly falls. The distribution of the lengths of the interval is scale invariant in the following sense: The ratio , with and being the mean and the th central moment, respectively, is invariant under scale transformations of and . In the special case , this gives Weber's law, a hallmark of cognitive timing.
- Received 7 November 2000
DOI:https://doi.org/10.1103/PhysRevLett.86.3919
©2001 American Physical Society