Data-driven spectral submanifold reduction produces low-dimensional delay-free ODE models for nonlinear delayed dynamical systems from measurements alone.
Perturbation Theory for Linear Operators, Grundlehren der mathematischen Wissenschaften, vol
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Derives criteria for when state-dependent proto-area two-jets in approximate holographic codes are compatible with metric two-jets, including polyhedral realizations, X-ray transform tangent spaces, and quadratic obstructions to geometry.
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Data-Driven Reduced Modeling of Delayed Dynamical Systems via Spectral Submanifolds
Data-driven spectral submanifold reduction produces low-dimensional delay-free ODE models for nonlinear delayed dynamical systems from measurements alone.