The extended guiding-centre Lagrangian equations of motion are derived by the Lie-
transform perturbation method under the assumption of time-dependent and …

A consistent guiding-center Hamiltonian theory is derived by Lie-transform perturbation
method, with terms up to second order in magnetic-field nonuniformity. Consistency is …

In the present work, a consistent Lagrangian model that encapsulates fully kinetic ions and
gyrokinetic electrons for solar wind electromagnetic turbulence is formulated. Using a …

Higher-order Lie-transform perturbative methods applied to Hamiltonian formulation of
guiding-center motion are widely used to describe the dynamics of particles in plasma …

The Hamiltonian formulation of classical mechanics reveals an underlying Lie algebraic
structure which is a key element for developing an efficient perturbation theory. But Lie …