Stochastic differential equations with time-delayed feedback and multiplicative noise

Details Stochastic differential equations with time-delayed feedback and multiplicative noise Stochastic differential equations with time-delayed feedback and multiplicative noise

2007-03-12

arxiv.org/abs/cond-mat/0703301v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures

Scientific paper

The stochastic differential equation $\dot{x}(t) = ax(t) + bx(t-\tau) + c
x(t) \xi(t)$ with a time-delayed feedback and a multiplicative Gaussian noise
is shown to be related to Kardar-Parisi-Zhang universality class of growing
surfaces.

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