Hamiltonian and action principle (HAP) formulations of plasma physics are reviewed for the
purpose of explaining structure preserving numerical algorithms. Geometric structures …

The Vlasov–Maxwell equations possess a Hamiltonian structure expressed in terms of a
Hamiltonian functional and a functional bracket. In the present paper, the transformation …

Recent progress regarding the noncanonical Hamiltonian formulation of extended
magnetohydrodynamics (XMHD), a model with Hall drift and electron inertia, is summarized …

A method, called beatification, is presented for rapidly extracting weakly nonlinear
Hamiltonian systems that describe the dynamics near equilibria of systems possessing …

The Hamiltonian formulations for the perturbed Vlasov–Maxwell equations and the
perturbed ideal magnetohydrodynamics (MHD) equations are expressed in terms of the …

The present work investigates the breakdown of the modulational approximation in a
multimode extension of the three wave nonlinear interaction. The modulational approach …

A perturbative method called beatification is presented for a class of two-dimensional fluid
and plasma theories. The Hamiltonian systems considered, namely, the Euler, Vlasov …

In MHD magnetic helicity has been shown to represent Gauss linking numbers of magnetic
field lines by Moffatt and others; thus it is endowed with topological meaning. The …

A abordagem modulacional fornece uma estrutura simplificada para descrever a interação
não-linear de três ondas (tripleto) em regimes onde a freqüência dos portadores é muito …