7 citations · 21 across the 8 of their papers we have counts for
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math.DS2019★ 7 cited
Application of Helmholtz-Hodge decomposition to the study of certain vector fields
Tomoharu Suda
Smooth vector fields on can be decomposed into the sum of a gradient vector field and divergence-free (solenoidal) vector field under suitable hypotheses. This is ca…
math.DS2019★ 5 cited
Construction of Lyapunov functions using Helmholtz-Hodge decomposition
Tomoharu Suda
The Helmholtz-Hodge decomposition (HHD) is applied to the construction of Lyapunov functions. It is shown that if a stability condition is satisfied, such a decomposition can be ch…
math.DS2019
A characterization of the Filippov convention
Tomoharu Suda
The Filippov convention is widely used in the literature to define vector fields on a discontinuity set of piecewise-continuous vector fields. The aim of this paper is to give a su…