title: Influence of additive noise on transitions in nonlinear systems
abstract: The effect of additive noise on transitions in nonlinear systems far from equilibrium is studied. It is shown that additive noise in itself can induce a hidden phase transition, which is similar to the transition induced by multiplicative noise in a nonlinear oscillator [P. Landa and A. Zaikin, Phys. Rev. E 54, 3535 (1996)]. Investigation of different nonlinear models that demonstrate phase transitions induced by multiplicative noise shows that the influence of additive noise upon such phase transitions can be crucial: additive noise can either blur such a transition or stabilize noise-induced oscillations.
authors.affiliation: Lomonosov Moscow State University, Russia.
authors.initials: PS
authors.lastname: Landa
authors.initials: AA
authors.lastname: Zaikin
authors.initials: VG
authors.lastname: Ushakov
authors.initials: J
authors.lastname: Kurths