29 citations · 65 across the 22 of their papers we have counts for
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math.DS2019★ 2 cited
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits
Matthew D. Kvalheim, Shai Revzen
We consider dynamical systems having an attracting hyperbolic fixed point or periodic orbit and prove existence and uniqueness results for (actually $C^{k,α}_{\text{loc…
cs.RO2019★ 8 cited
Gait modeling and optimization for the perturbed Stokes regime
Matthew D. Kvalheim, Brian Bittner, Shai Revzen
Many forms of locomotion, both natural and artificial, are dominated by viscous friction in the sense that without power expenditure they quickly come to a standstill. From geometr…