25 citations · 45 across the 8 of their papers we have counts for
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math-ph2020
Deformation of Lie-Poisson algebras and chirality
Zensho Yoshida, Philip J. Morrison
Linearization of a Hamiltonian system around an equilibrium point yields a set of Hamiltonian-symmetric spectra: If is an eigenvalue of the linearized generator, and $\bar…
math-ph2015★ 1 cited
Gauge Symmetries and Noether Charges in Clebsch-Parameterized Magnetohydrodynamics
Ko Tanehashi, Zensho Yoshida
It is shown that the Clebsch parameterization, upon canonizing the Hamiltonian system of ideal fluid or plasma dynamics, converts the Casimir invariants (mass and helicities) in th…
math-ph2013★ 2 cited
Unfreezing Casimir invariants: singular perturbations giving rise to forbidden instabilities
Z. Yoshida, P. J. Morrison
The infinite-dimensional mechanics of fluids and plasmas can be formulated as "noncanonical" Hamiltonian systems on a phase space of Eulerian variables. Singularities of the Poisso…