ON LOGARITHMIC ASYMPTOTICS OF STOCHASTIC RESONANCE FREQUENCIES
Keyword(s):
Stochastic resonance effects due to arbitrarily small amplitude deterministic perturbations in dynamical systems with noise are studied. The concept of Log-Asymptotic Resonance Frequency is introduced and the relationship between its existence and some types of symmetries in the stochastic system is established; the spectrum of this kind of frequencies is determined. These symmetries are defined through the quasi-deterministic approximation of the system. The large deviation theory gives the basic machinery for this analysis.
Keyword(s):
2013 ◽
Vol 5
(1)
◽
pp. 448-457
Keyword(s):
1993 ◽
Vol 25
(04)
◽
pp. 757-772
◽
2004 ◽
Vol 331
(1-2)
◽
pp. 109-124
◽