学術雑誌論文 Time-delayed feedback control of diffusion in random walkers

Ando, Hiroyasu  ,  Takehara, Kohta  ,  Kobayashi, Miki U.

96 ( 1 )  , p.12148 , 2017-07 , American Physical Society
ISSN:2470-0045
NII書誌ID(NCID):AA11558033
内容記述
Time delay in general leads to instability in some systems, while specific feedback with delay can control fluctuated motion in nonlinear deterministic systems to a stable state. In this paper, we consider a stochastic process, i.e., a random walk, and observe its diffusion phenomenon with time-delayed feedback. As a result, the diffusion coefficient decreases with increasing delay time. We analytically illustrate this suppression of diffusion by using stochastic delay differential equations and justify the feasibility of this suppression by applying time-delayed feedback to a molecular dynamics model.
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