Matthew D. Kvalheim

activity

20162026

most citedGlobal linearization and fiber bundle structure of invariant manifolds

29 citations · 52 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.DS2020★ 7 cited

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 $C_{loc}^{k, α}$ globally defined linearizing semiconjugacies for $C^{1}$ flows having a gl…

math.DS2020

Conley's fundamental theorem for a class of hybrid systems

Matthew D. Kvalheim, Paul Gustafson, Daniel E. Koditschek

We establish versions of Conley's (i) fundamental theorem and (ii) decomposition theorem for a broad class of hybrid dynamical systems. The hybrid version of (i) asserts that a glo…