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math.DS2023★ 19 cited
Framework for global stability analysis of dynamical systems
George Datseris, Kalel Luiz Rossi, Alexandre Wagemakers
Dynamical systems, that are used to model power grids, the brain, and other physical systems, can exhibit coexisting stable states known as attractors. A powerful tool to understan…
math.DS2021★ 43 cited
Effortless estimation of basins of attraction
George Datseris, Alexandre Wagemakers
We present a fully automated method that identifies attractors and their basins of attraction without approximations of the dynamics. The method works by defining a finite state ma…