244 citations · 802 across the 18 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…
physics.flu-dyn2016★ 76 cited
On the correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations
Ati S. Sharma, Igor Mezić, Beverley J. McKeon
The relationship between Koopman mode decomposition, resolvent mode decomposition and exact invariant solutions of the Navier-Stokes equations is clarified. The correspondence rest…