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math.NA2021
A Koopman Operator Tutorial with Othogonal Polynomials
Simone Servadio, David Arnas, Richard Linares
The Koopman Operator (KO) offers a promising alternative methodology to solve ordinary differential equations analytically. The solution of the dynamical system is analyzed in term…
nlin.CD2021
Dynamics Near the Three-Body Libration Points via Koopman Operator Theory
Simone Servadio, David Arnas, Richard Linares
This paper investigates the application of the Koopman Operator theory to the motion of a satellite about a libration point in the Circular Restricted Three-Body Problem. Recently,…