4 papers · 1 filter
A multi-parameter Lie transform method applied to the transform of the Lagrangian differential one-form
Shuangxi Zhang
In this paper, to fit the multi-scale perturbations, the single-parameter Lie transform perturbation theory given in [Ann Phys, 151 1 (1983)] is generalized to a multi-parameter ca…
Deriving the trajectory equations of gyrocenter with a multi-parameter Lie transform method
Shuangxi Zhang
It's pointed out that the values of the generators derived by the modern gyrokinetic theory are inappropriately amplified by the pullback transform with the existence of electromag…
Gyrokinetic resonant theory of low frequency electromagnetic perturbation
Shuangxi Zhang
It's pointed out that the traditional gyrokinetic theory dealing with low frequency electromagnetic perturbation violates the near identity transformation, which is supposed to be…
Resonant terms on gyrocenter coordinates introduced by resonant electromagnetic perturbations
Shuangxi Zhang
It's pointed out that the treatment of the resonant electromagnetic perturbation with the Lie transform method adopted in the gyrokinetic theory generates some nonphysical terms in…