Jet-space reconstruction preserves symmetries of chaotic systems via Lie algebra isomorphism under jet prolongation and outperforms Takens embedding in numerical tests on Lorenz and Rössler using elastic energy and correlation dimension.
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Reconstruction of chaotic systems in invariant jet space
Jet-space reconstruction preserves symmetries of chaotic systems via Lie algebra isomorphism under jet prolongation and outperforms Takens embedding in numerical tests on Lorenz and Rössler using elastic energy and correlation dimension.