699 citations · 802 across the 3 of their papers we have counts for
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math.DS2014
Existence of invariant tori in three dimensional maps with degeneracy
Umesh Vaidya, Igor Mezic
We prove a KAM-type result for the persistence of two-dimensional invariant tori in perturbations of integrable action-angle-angle maps with degeneracy, satisfying the intersection…
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…
math.DS2012★ 103 cited
Geometry of the ergodic quotient reveals coherent structures in flows
Marko Budišić, Igor Mezić
Dynamical systems that exhibit diverse behaviors can rarely be completely understood using a single approach. However, by identifying coherent structures in their state spaces, i.e…