Stochastic differential equations with time-delayed feedback and multiplicative noise
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The stochastic differential equation $\dot{x}(t) = ax(t) + bx(t-τ) + c x(t) ξ(t)$ with a time-delayed feedback and a multiplicative Gaussian noise is shown to be related to Kardar-Parisi-Zhang universality class of growing surfaces.
11 pages, 4 figures
11 pages, 4 figures