189 citations · 1.6k across the 88 of their papers we have counts for
Showing 2013 · math-phShow all
3 papers · 2 filters
math-ph2013
Continuum Hamiltonian Hopf Bifurcation II
G. I. Hagstrom, P. J. Morrison
Building on the development of [MOR13], bifurcation of unstable modes that emerge from continuous spectra in a class of infinite-dimensional noncanonical Hamiltonian systems is inv…
math-ph2013
Continuum Hamiltonian Hopf Bifurcation I
Philip J. Morrison, George I. Hagstrom
Hamiltonian bifurcations in the context of noncanonical Hamiltonian matter models are described. First, a large class of 1 + 1 Hamiltonian multi-fluid models is considered. These m…
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…