7 citations · 21 across the 8 of their papers we have counts for
8 papers
Dynamical properties in the axiomatic theory of ordinary differential equations
Tomoharu Suda
The axiomatic theory of ordinary differential equations, owing to its simplicity, can provide a useful framework to describe various generalizations of dynamical systems. In this s…
On partial maps derived from flows
Tomoharu Suda
The first-return map, or the Poincaré map, is a fundamental concept in the theory of flows. However, it can generally be defined only partially, and additional conditions are requi…
Poincaré maps and suspension flows: a categorical remark
Tomoharu Suda
Poincaré maps and suspension flows are examples of fundamental constructions in the study of dynamical systems. This study aimed to show that these constructions define an adjoint…
Equivalence of topological dynamics without well-posedness
Tomoharu Suda
The notion of topological equivalence plays an essential role in the study of dynamical systems of flows. However, it is inherently difficult to generalize this concept to systems…
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…
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…
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…
Destruction of Magnetic Long-Range Order by Hole-Induced Skyrmions in Two-Dimensional Heisenberg Model
Tomoharu Suda, Takao Morinari
Motivated by the rapid destruction of antiferromagnetic long-range order in hole-doped cuprate high-temperature superconductors, we study the effect of skyrmions on the magnetic lo…