Slow manifold and parameter estimation for a nonlocal fast-slow stochastic evolutionary system
Dynamical Systems
2018-10-15 v1
Abstract
We establish a slow manifold for a fast-slow stochastic evolutionary system with anomalous diffusion, where both fast and slow components are influ- enced by white noise. Furthermore, we prove the exponential tracking property for the random slow manifold and this leads to a lower dimensional reduced sys- tem based on the slow manifold. Also we consider parameter estimation for this nonlocal fast-slow stochastic dynamical system, where only the slow component is observable. In quantifying parameters in stochastic evolutionary systems, this offers an advantage of dimension reduction.
Cite
@article{arxiv.1810.05304,
title = {Slow manifold and parameter estimation for a nonlocal fast-slow stochastic evolutionary system},
author = {Hina Zulfiqar and Ziying He and Meihua Yang and Jinqiao Duan},
journal= {arXiv preprint arXiv:1810.05304},
year = {2018}
}