71 citations · 106 across the 9 of their papers we have counts for
9 papers
Clustering of point vortices in a periodic box
Makoto Umeki
The Monte Carlo simulation of point vortices with square periodic boundary conditions is performed where is order of 100. The clustering property is examined by computing t…
Double Periodicity and Frequency-Locking in the Langford Equation
Makoto Umeki
The bifurcation structure of the Langford equation is studied numerically in detail. Periodic, doubly-periodic, and chaotic solutions and the routes to chaos via coexistence of dou…
Point Process Analysis of Vortices in a Periodic Box
Makoto Umeki
The motion of assemblies of point vortices in a periodic parallelogram can be described by the complex position whose time derivative is given by the sum of the complex ve…
Clustering Analysis of Periodic Point Vortices with the Function
Makoto Umeki
A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes re…
Bifurcations and Chaos in the Six-Dimensional Turbulence Model of Gledzer
Makoto Umeki
The cascade-shell model of turbulence with six real variables originated by Gledzer is studied numerically using Mathematica 5.1. Periodic, doubly-periodic and chaotic solutions an…
Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect I: Shallow water
Christophe Coste, Makoto Umeki, Fernando Lund
When a surface wave interacts with a vertical vortex in shallow water the latter induces a dislocation in the incident wavefronts that is analogous to what happens in the Aharonov-…