4 citations · 14 across the 8 of their papers we have counts for
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math-ph2023
Relative Equilibria of Mechanical Systems with Rotational Symmetry
Philip Arathoon
We consider the task of classifying relative equilibria for mechanical systems with rotational symmetry. We divide relative equilibria into two natural groups: a generic class whic…
math.DS2023★ 2 cited
Koopman Embedding and Super-Linearization Counterexamples with Isolated Equilibria
Philip Arathoon, Matthew D. Kvalheim
A frequently repeated claim in the "applied Koopman operator theory'' literature is that a dynamical system with multiple isolated equilibria cannot be linearized in the sense of a…
math.DS2023★ 4 cited
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…