189 citations · 1.6k across the 88 of their papers we have counts for
Showing 2014 · math-phShow all
2 papers · 2 filters
math-ph2014★ 8 cited
Hierarchical structure of noncanonical Hamiltonian systems
Z. Yoshida, P. J. Morrison
Topological constraints play a key role in the self-organizing processes that create structures in macro systems. In fact, if all possible degrees of freedom are actualized on equa…
math-ph2014★ 12 cited
A hierarchy of noncanonical Hamiltonian systems: circulation laws in an extended phase space
Z. Yoshida, P. J. Morrison
The dynamics of an ideal fluid or plasma is constrained by topological invariants such as the circulation of (canonical) momentum or, equivalently, the flux of the vorticity or mag…