Basins of Attraction

High-dimensional basins

How do basins look like in high-dimensional systems?

• Y. Zhang and S. H. Strogatz, Basins with tentacles, Phys. Rev. Lett. 127, 194101 (2021)

Can we learn complicated basins from data using machine learning?

• Y. Zhang and S. P. Cornelius, Catch-22s of reservoir computing, Phys. Rev. Research 5, 033213 (2023)

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?

• Y. Zhang, Z. G. Nicolaou, J. D. Hart, R. Roy, and A. E. Motter, Critical switching in globally attractive chimeras, Phys. Rev. X 10, 011044 (2020)