We establish a slow manifold for a fast-slow dynamical system with anomalous diffusion, where both fast and slow components are influenced by white noise. Furthermore, we verify the exponential tracking property for the established random slow manifold, which leads to a lower dimensional reduced system. Alongside this we consider a parameter estimation method for a nonlocal fast-slow stochastic dynamical system, where only the slow component is observable. In terms of quantifying parameters in stochastic evolutionary systems, the provided method offers the advantage of dimension reduction.
Hina ZULFIQAR
,
Ziying HE
,
Meihua YANG
,
Jinqiao DUAN
. SLOW MANIFOLD AND PARAMETER ESTIMATION FOR A NONLOCAL FAST-SLOW DYNAMICAL SYSTEM WITH BROWNIAN MOTION[J]. Acta mathematica scientia, Series B, 2021
, 41(4)
: 1057
-1080
.
DOI: 10.1007/s10473-021-0403-y
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