Brain dynamics depicts an extremely complex energy landscape that changes over time, and its characterisation
is a central unsolved problem in neuroscience. We approximate the non-stationary landscape sustained by the
human brain through a novel mathematical formalism that allows us characterise the attractor structure, i.e. the
stationary points and their connections. Due to its time-varying nature, the structure of the global attractor and the
corresponding number of energy levels changes over ...
Brain dynamics depicts an extremely complex energy landscape that changes over time, and its characterisation
is a central unsolved problem in neuroscience. We approximate the non-stationary landscape sustained by the
human brain through a novel mathematical formalism that allows us characterise the attractor structure, i.e. the
stationary points and their connections. Due to its time-varying nature, the structure of the global attractor and the
corresponding number of energy levels changes over time. We apply this formalism to distinguish quantitatively
between the different human brain states of wakefulness and different stages of sleep, as a step towards future
clinical applications.
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