Basins of Attraction

High-dimensional basins

How do basins look like in high-dimensional dynamical systems? A deeper understanding of this question can lead to new insights on systems such as power grids and neural networks. We explore basin geometries in high-dimensional systems and their implications.

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