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Updated: Jan 10, 2026

Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
Published on: February 25, 2015
Reservoir computing on manifolds
1School of Business Administration, Hitotsubashi University, 2-1 Naka, Kunitachi, Tokyo 186-8601, Japan.
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Reservoir computing has attracted considerable attention as an effective method for learning chaotic time series generated by dynamical systems. In this paper, we propose a new reservoir computing approach that is adapted to dynamical systems on general manifolds, representing a natural extension of the usual method for dynamical systems on the Euclidean spaces. We also present numerical results for learning the hyperbolic toral automorphism and the tripling map on the circle to demonstrate that the proposed method performs effectively.
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