41 citations · 69 across the 5 of their papers we have counts for
6 papers
Rattleback: a model of how geometric singularity induces dynamic chirality
Zensho Yoshida, Tadashi Tokieda, Philip J. Morrison
The rattleback is a boat-shaped top with an asymmetric preference in spin. Its dynamics can be described by nonlinearly coupled pitching, rolling, and spinning modes. The chirality…
Surprises in numerical expressions of physical constants
Ariel Amir, Mikhail Lemeshko, Tadashi Tokieda
In science, as in life, `surprises' can be adequately appreciated only in the presence of a null model, what we expect a priori. In physics, theories sometimes express the values o…
Deformation of geometry and bifurcation of vortex rings
James Montaldi, Tadashi Tokieda
We construct a smooth family of Hamiltonian systems, together with a family of group symmetries and momentum maps, for the dynamics of point vortices on surfaces parametrized by th…
Vortex dynamics on a cylinder
James Montaldi, Anik Soulière, Tadashi Tokieda
Point vortices on a cylinder (periodic strip) are studied geometrically. The Hamiltonian formalism is developed, a non-existence theorem for relative equilibria is proved, equilibr…
Openness of momentum maps and persistence of extremal relative equilibria
James Montaldi, Tadashi Tokieda
We prove that for every proper Hamiltonian action of a Lie group G in finite dimensions the momentum map is locally G-open relative to its image (i.e. images of G-invariant open se…
On relative normal modes
E. Lerman, T. F. Tokieda
We generalize the Weinstein-Moser theorem on the existence of nonlinear normal modes near an equilibrium in a Hamiltonian system to a theorem on the existence of relative perodic o…