14 citations · 19 across the 2 of their papers we have counts for
2 papers
math.DS2021★ 5 cited
Finding unstable periodic orbits: a hybrid approach with polynomial optimization
Mayur Lakshmi, Giovanni Fantuzzi, Sergei Chernyshenko +1
We present a novel method to compute unstable periodic orbits (UPOs) that optimize the infinite-time average of a given quantity for polynomial ODE systems. The UPO search procedur…
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…