64 citations · 563 across the 39 of their papers we have counts for
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math.DS2019★ 31 cited
Bounding extreme events in nonlinear dynamics using convex optimization
Giovanni Fantuzzi, David Goluskin
We study a convex optimization framework for bounding extreme events in nonlinear dynamical systems governed by ordinary or partial differential equations (ODEs or PDEs). This fram…
math.DS2019★ 14 cited
Finding extremal periodic orbits with polynomial optimisation, with application to a nine-mode model of shear flow
Mayur Lakshmi, Giovanni Fantuzzi, Jesús Fernández-Caballero +2
Tobasco et al. [Physics Letters A, 382:382-386, 2018; see https://doi.org/10.1016/j.physleta.2017.12.023] recently suggested that trajectories of ODE systems that optimize the infi…