45 citations · 90 across the 7 of their papers we have counts for
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math.OC2022
Using Spectral Submanifolds for Nonlinear Periodic Control
Florian Mahlknecht, John Irvin Alora, Shobhit Jain +4
Very high dimensional nonlinear systems arise in many engineering problems due to semi-discretization of the governing partial differential equations, e.g. through finite element m…
math.DS2022★ 45 cited
Model reduction for constrained mechanical systems via spectral submanifolds
Mingwu Li, Shobhit Jain, George Haller
Dynamical systems are often subject to algebraic constraints in conjunction to their governing ordinary differential equations. In particular, multibody systems are commonly subjec…