699 citations · 752 across the 4 of their papers we have counts for
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math.DS2016★ 9 cited
Koopman principle eigenfunctions and linearization of diffeomorphisms
Ryan Mohr, Igor Mezić
This paper considers a nonlinear dynamical system on a complex, finite dimensional Banach space which has an asymptotically stable, hyperbolic fixed point. We investigate the conne…
math.DS2012★ 699 cited
Applied Koopmanism
Marko Budišić, Ryan M. Mohr, Igor Mezić
A majority of methods from dynamical systems analysis, especially those in applied settings, rely on Poincaré's geometric picture that focuses on "dynamics of states". While this p…