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E. Nikulchev

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Open access Sep 2026

Symmetry Invariants of Strange Attractors from Jet-Space Embeddings

A method for reconstructing dynamical systems from a scalar time series is proposed, based on replacing delay coordinates with jet-space coordinates—the signal and its time derivatives. A theorem is proved establishing a Lie algebra isomorphism under jet prolongation, which ensures equivariance under the full symmetry...

E. Nikulchev · 0 citations

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