5 papers
Combinatorial structures of the space of gradient vector fields on compact surfaces
Tomoo Yokoyama
Gradient vector fields are fundamental objects from both theoretical and practical perspectives, since various phenomena can be modeled within this framework. The ``moduli space''…
Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains
Mitsuaki Kimura, Takeshi Matsumoto, Takashi Sakajo +2
The dynamics and statistical properties of two-dimensional (2D) turbulence are often investigated through numerical simulations of incompressible, viscous fluids in doubly periodic…
Relations among Hamiltonian, area-preserving, and non-wandering flows on surfaces
Tomoo Yokoyama
This paper gives a topological characterization of Hamiltonian flows with finitely many singular points on compact surfaces, using the concept of ``demi-caractéristique'' in the s…
Decompositions of surface flows
Tomoo Yokoyama
Flows on surfaces are one of the most fundamental and classical objects in dynamical systems, and are studied from various areas (e.g. integrable systems, differential equations, f…
A Poincaré-Bendixson theorem for flows with arbitrarily many singular points
Tomoo Yokoyama
The Poincaré-Bendixson theorem is one of the most fundamental tools to capture the limit behaviors of orbits of flows. It was generalized and applied to various phenomena in dynam…