We study an extended system that without noise shows a spatially
homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is investigated theoretically, and the knowledge of the exact nonequilibrium potential allows us to obtain the output signal-to-noise ratio. In agreement with previous studies, its maximum is predicted in the symmetric case for which both stable attractors have the same nonequilibrium potential value.
We discuss in detail two recently proposed relations between the Parrondo's games and the Fokker-Planck equation describing the flashing ratchet as the overdamped motion of a particle in a potential landscape. In both cases it is possible to relate exactly the probabilities of the games to the potential in which the overdamped particle moves. We will discuss under which conditions current-less potentials correspond to fair games and vie versa.
We study a model consisting of N nonlinear oscillators with global periodic coupling and local multiplicative and
additive noises. The model was shown to undergo a nonequilibrium
phase transition towards a broken-symmetry phase exhibiting
noise-induced ``ratchet" behavior. Here we review some aspects
leading to an "anomalous--to--normal" transition in the ratchet's
hysteretic behavior and also show -as suggested by the absence of
stable solutions when the load force is beyond a critical value-
the existence of a limit cycle induced by both: multiplicative
noise and global periodic coupling.