60 citations · 271 across the 21 of their papers we have counts for
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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…
Computing Casimir invariants from Pfaffian systems
T. W. Yudichak, Benito Hernández-Bermejo, P. J. Morrison
We describe a method for computing Casimir invariants that is applicable to both finite and infinite-dimensional Poisson brackets. We apply the method to various finite and infinit…
Hamiltonian Nature of Monopole Dynamics
J. M. Heninger, P. J. Morrison
Classical electromagnetism with magnetic monopoles is not a Hamiltonian field theory because the Jacobi identity for the Poisson bracket fails. The Jacobi identity is recovered onl…
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…
Gradient flows in the normal and Kähler metrics and triple bracket generated metriplectic systems
Anthony M. Bloch, Philip J. Morrison, Tudor S. Ratiu
The dynamics of gradient and Hamiltonian flows with particular application to flows on adjoint orbits of a Lie group and the extension of this setting to flows on a loop group are…