79 citations · 638 across the 61 of their papers we have counts for
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math.DS2022★ 2 cited
The Toda flow as a porous medium equation
Boris Khesin, Klas Modin
We describe the geometry of the incompressible porous medium (IPM) equation: we prove that it is a gradient dynamical system on the group of area-preserving diffeomorphisms and has…
math.DS2012★ 7 cited
Integrability of Nonholonomically Coupled Oscillators
Klas Modin, Olivier Verdier
We study a family of nonholonomic mechanical systems. These systems consist of harmonic oscillators coupled through nonholonomic constraints. In particular, the family includes the…
math.DS2012★ 10 cited
Geodesic Warps by Conformal Mappings
Stephen Marsland, Robert McLachlan, Klas Modin +1
In recent years there has been considerable interest in methods for diffeomorphic warping of images, with applications e.g.\ in medical imaging and evolutionary biology. The origin…