Basins of Attraction

High-dimensional basins

How do basins look like in high-dimensional systems?

Can we learn complicated basins from data using machine learning?

Do higher-order interactions expand or shrink basins?

  • Y. Zhang, P. S. Skardal, F. Battiston, G. Petri, and M. Lucas, Deeper but smaller: Higher-order interactions increase linear stability but shrink basins, arXiv:2309.16581

Can intermingled basins give rise to non-exponetial transition statistics?