Modulation frequency response of a bistable system with noise

Bob Nagler, Guy Verschaffelt, Michael Peeters, Jan Albert, Irina Veretennicoff, Jan Danckaert, Giovanni Giacomelli, Francesco Marin
2004 Physical Review E  
We present a method to construct a modulation frequency response curve for bistable systems in the presence of noise. To this end, a small sinusoidal modulation is applied to the system such that it switches between its two stable states. The response curve we construct yields information on the nature of the physical mechanism underlying the switching process and is furthermore comparable to the standard response curves of linear systems. Our semianalytical approach, which only needs
more » ... nly needs approximate Kramer rates, is in good agreement with numerical simulations. The concept is applicable to a wide range of systems. PACS number(s): 05.45. Ϫa, 43.50.ϩy, 42.60.Mi, 42.65.Sf with ␦-correlated noise ͗͑t͒͑s͒͘ = ␦͑t − s͒, ͑3͒ and J a parameter that can be modulated. The potential for J = 0 is plotted in Fig. 1 . It has a stable state at +1 and one at −1 (from now on called the "+" mode and the "−" mode). Due to the noise, spontaneous transitions between the stable *Current address:
doi:10.1103/physreve.70.046214 pmid:15600502 fatcat:jdgquwjgnbf5fn3zh3jxlygpkq