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math-ph2026
The tentacles landscape: geometric properties of high-dimensional basins of attraction
Pablo Groisman
Basins of attraction in multistable high dimensional dynamical systems are expected to have universal features but very little has been proved rigorously. We consider phase oscilla…
math-ph2025
The size of the sync basin resolved
Pablo Groisman, Cecilia De Vita, Julián Fernández Bonder +1
Sparsely coupled Kuramoto oscillators offer a fertile playground for exploring high-dimensional basins of attraction due to their simple yet multistable dynamics. For identical…