Uncovering Hidden Connections: A New Lens on Complex Systems

Researchers have developed a novel method to reveal underlying network structures within observational data, offering insights into phenomena ranging from customer behavior to neurological events.



![Trajectories flirting with chaos can be subtly steered towards safety by a carefully tuned control function [latex]U_{\in fty}(x)[/latex], which defines an admissible set [latex]S(u)[/latex] within which even initially unstable paths-previously escaping a defined region [latex]Q=[0,1][/latex]-remain confined through minimal control interventions, as demonstrated by a bounded control signal [latex]u_n[/latex].](https://arxiv.org/html/2601.21510v1/x3.png)