Noise-induced oscillatory behavior in field-dependent relaxational dynamics.

By considering inertial effects in a field-dependent relaxational model, we show that noise may induce collective oscillatory dynamics. In agreement with the recently introduced idea of noise-induced multistability, we show that there is a region in parameter space where such behavior depends on the initial condition. Moreover, when the coupling term leads to pattern formation by means of a morphological instability a la Swift-Hohenberg, [J. Buceta, M. Ibañes, J. M. Sancho, and K. Lindenberg, Phys. Rev. E 67, 021113 (2003) and K. Wood, J. Buceta, and K. Lindenberg, Phys. Rev. E 73, 022101 (2006)] our numerical simulations reveal that spatio-temporal oscillatory structures develop.