699 citations · 802 across the 2 of their papers we have counts for
2 papers
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…