5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.DS2019
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…