Generic Properties of Koopman Eigenfunctions for Stable Fixed Points and Periodic Orbits

Matthew D. Kvalheim, David Hong, Shai Revzen

Our recent work established existence and uniqueness results for ${\mathcal{C}}_{\text{loc}}^{k,\alpha }$ globally defined linearizing semiconjugacies for ${\mathcal{C}}^1$ flows having a gl…