Hypersensitivity to small signals in a stochastic system with multiplicative colored noise

Recently we discovered the phenomenon of hypersensitivity to small time-dep endent signals in a simple stochastic system, the Kramers oscillator with m ultiplicative white noise. In the present work we study, theoretically and experimentally with analog simulations, an influence of noise correlation t ime on hypersensitivity in a nonlinear oscillator with piecewise-linear cur rent-voltage characteristic and multiplicative colored dichotomous noise. W e 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 depende nce of gain factor on noise correlation time is of bell-shaped (resonant) t ype.