88 citations · 766 across the 71 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
physics.plasm-ph2016★ 3 cited
Equivalent Higher-order Guiding-center Hamiltonian Theories
A. J. Brizard, N. Tronko
Equivalent guiding-center Hamiltonian theories are constructed based on higher-order Lie-transform perturbation methods. Higher-order guiding-center theories are distinguished on t…
physics.plasm-ph2016★ 27 cited
Variational principles for the guiding-center Vlasov-Maxwell equations
A. J. Brizard, C. Tronci
The Lagrange, Euler, and Euler-Poincaré variational principles for the guiding-center Vlasov-Maxwell equations are presented. Each variational principle presents a different approa…
math-ph2016★ 10 cited
Motion in an Asymmetric Double Well
Alain J. Brizard, Melissa C. Westland
The problem of the motion of a particle in an asymmetric double well is solved explicitly in terms of the Weierstrass and Jacobi elliptic functions. While the solution of the orbit…