Basins of Attraction

High-dimensional basins

How do basins look like in high-dimensional systems?

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, Sci. Adv. 10, ado8049 (2024)

How do basin sizes scale?

  • P. Groisman, C. De Vita, J. F. Bonder, and Y. Zhang†, The size of the sync basin resolved, arXiv:2506.034199

Fractal basins

Can we learn complicated basins from data using machine learning?

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