From the 1 of 7 linked papers with an AI index.
4 citations · 4 across the 2 of their papers we have counts for
3 papers · 1 filter
Linearizability of flows by embeddings
Matthew D. Kvalheim, Philip Arathoon
We consider the problem of determining the class of continuous-time dynamical systems that can be globally linearized in the sense of admitting an embedding into a linear system on…
Global linearization of asymptotically stable systems without hyperbolicity
Matthew D. Kvalheim, Eduardo D. Sontag
We give a proof of an extension of the Hartman-Grobman theorem to nonhyperbolic but asymptotically stable equilibria of vector fields. Moreover, the linearizing topological conjuga…
Differential topology of the spaces of asymptotically stable vector fields and Lyapunov functions
Matthew D. Kvalheim
We study the topology of the space of all smooth asymptotically stable vector fields on , as well as the space of all proper smooth Lyapunov functions for such vector…