https://doi.org/10.1007/s100510170354
Hypersensitivity to small signals in a stochastic system with multiplicative colored noise
Petersburg Nuclear Physics Institute, Gatchina Leningrad
district 188350, Russia
Corresponding author: a gerashch@hep486.pnpi.spb.ru
Received:
27
April
2000
Revised:
2
November
2000
Published online: 15 January 2001
Recently we discovered the phenomenon of hypersensitivity to small time-dependent signals in a simple stochastic system, the Kramers oscillator with multiplicative white noise. In the present work we study, theoretically and experimentally with analog simulations, an influence of noise correlation time on hypersensitivity in a nonlinear oscillator with piecewise-linear current-voltage characteristic and multiplicative colored dichotomous noise. We found that the region of hypersensitive behavior is defined by universal scaling index, whereas the specifics of a particular system reveals itself only in the dependence of the above index on system parameters. The dependence of gain factor on noise correlation time is of bell-shaped (resonant) type.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 84.30.-r – Electronic circuits
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
