71 citations · 106 across the 9 of their papers we have counts for
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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…