Tl. Carroll et Lm. Pecora, STOCHASTIC RESONANCE AS A CRISIS IN A PERIOD-DOUBLED CIRCUIT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(6), 1993, pp. 3941-3947
Stochastic resonance, a phenomenon in which random transitions between
states in a multistate system are modulated by an external periodic s
ignal, is usually studied statistically. In an experiment with a perio
d-doubled circuit, we observe transitions between the two phases of th
e response induced by noise or chaos. Adding a weak periodic modulatio
n allows us to observe stochastic resonance. It is also noted that tra
nsitions between phases are caused by a crisis which may be observed i
n the circuit. As a result, we are able to describe stochastic resonan
ce with the techniques of deterministic dynamics, providing a link bet
ween the fields of deterministic and stochastic mechanics.