An observer for an occluded reaction-diffusion system with spatially varying parameters
Abstract
Spatially dependent parameters of a two-component chaotic reaction-diffusion partial differential equation (PDE) model describing ocean ecology are observed by sampling a single species. We estimate the model parameters and the other species in the system by autosynchronization, where quantities of interest are evolved according to misfit between model and observations, to only partially observed data. Our motivating example comes from oceanic ecology as viewed by remote sensing data, but where noisy occluded data are realized in the form of cloud cover. We demonstrate a method to learn a large-scale coupled synchronizing system that represents the spatio-temporal dynamics and apply a network approach to analyze manifold stability.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 01, 2017
- Source ID
- 10.1063/1.4977960
Entities
People
- Erik M. Bollt
- Sean Kramer
Organizations
- Army Research Office
- Clarkson University
- Norwich University
- Office of Naval Research