Author

G. Haller

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Preprint Oct 2026

An application of the parameterization method to evolution flows associated to nonautonomous systems

Let $M$ be a finite-dimensional complete Riemannian manifold of bounded geometry. We consider a time-dependent vector field $X : \mathbb{R} \times M \to TM$ with $X_t:=X(t,\cdot) \in \mathfrak{X}^r(M)$ for all $t \in \mathbb{R}$ that satisfies some further uniform continuity assumptions. We suppose that $X$ admits a gl...

Gergely Buza, G. Haller · 0 citations

Open access Jul 2026

Data-driven reduced modeling of neural dynamics

Spectral submanifolds can be used to reduce recurrent neural networks to low-dimensional models, revealing their core dynamics, and authors uncover robust structures underlying decision-making and working-memory tasks, providing predictions about the underlying behavior of neural computations.

A. Marraffa, R. Krause, V. Mante et al. · Nature Communications · 0 citations