What question did this study set out to answer?

The aim is to determine if reachability and Jacobian magnitude can differentiate sleep stages based on EEG data.

April 4, 2026Open Access

State-Space Reachability and Local Jacobian Dynamics Across Canonical Sleep Stages

Puntos clave

The aim is to determine if reachability and Jacobian magnitude can differentiate sleep stages based on EEG data.
Tested local dynamical measures of reachability and Jacobian magnitude in EEG data
Analyzed canonical sleep stages including Wake, REM, N2, and N3
Compared effects against standard spectral and complexity-based EEG features
Reachability effectively distinguishes Wake, REM, and N2 from N3 stages
Jacobian magnitude shows weaker selectivity between sleep stages
Findings support a view of sleep states as structured rather than merely conscious states

Resumen

The paper tests whether two local dynamical EEG measures, reachability and Jacobian magnitude, distinguish canonical sleep stages in ANPHY-Sleep. Reachability robustly separates Wake, REM, and N2 from N3, while Jacobian magnitude is weaker and more selective. The study also shows that the effect is not easily reduced to standard spectral or complexity-based EEG features. The result supports a bounded claim about state structure rather than a direct measure of consciousness.

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