New paper with @math-martens.bsky.social on "Multiple timescale dynamics of network adaptation with constraints" now available Open Access in Chaos: doi.org/10.1063/5.02...

We introduce constraints to the adaptive dynamics as a way to reduce dimensionality. These may be intrinsic, for example, if the adaptation rule is nondirectional. Or they may be forced by a homeostasis mechanism.

This motivates new mathematical insights into the multiple time scale dynamics of adaptive networks. And opens up questions how constraints and adaptive dependency is realized in real world adaptive networks.

The nice summary "Reducing the dimensions of adaptive networks" for a broader audience was published alongside the paper at doi.org/10.1063/10.0...