Time Scale Hierarchies in the Functional Organization of Complex Behaviors
Figure 1
Multiscale dynamics: slow operational signal and SFM emergence.
Panel A: The slow operational signals {ξj} converge through a fast transient to a specific ξj node resulting (here) in the emergence of a cylindrical manifold. Panel B: The functional dynamics {ui} collapses fast (also) onto the manifold where it executes a slow spiral flow. The ξj node's stability is sustained for the duration of the flow execution. Subsequently, the ξj node destabilizes, followed by the related manifold and the dynamics moves away, again through fast transients. The density of data point is inversely proportional to the time scale of the dynamics.