Effect of self-orgaization induced by additive white noise

摘要

It is shown that phase transition induced by additive white noise can take place in nonlinear time-hi- erarchical systems. The case of two-dimensional system described by slow and fast variables is studied. It is shown that the number of distribution function maxima and the number of dynamically stable states can differ. Particularly, at low noise intensity the system functions in a monostable regime but when the intensity exceeds Some threshold value, the bistable regime of the system functioning is observed.