Dynamics of non-autonomous fractional Ginzburg-Landau equations driven by colored noise

Asymptotic behavior of random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains

“…Moreover, it is also proved that the solution (u ε , v ε ) of coupled system (1) satisfies lim ε→+∞ u ε (t)v ε (t) 2 = 0 uniformly on any bounded time-interval. In addition, one can refer to [20] for random attractor of fractional Ginzburg-Landau equation driven by colored noise on bounded domains and to [21] for random attractor of coupled fractional Ginzburg-Landau equation.…”