2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/86414The foundations of gyrokinetic theory are reviewed with an emphasis on the applications of Lagrangian and Hamiltonian methods used in the derivation of nonlinear gyrokinetic Vlasov-Maxwell equations. These reduced dynamical equations describe the turbulent evolution of low-frequency electromagnetic fluctuations in nonuniform magnetized plasmas with arbitrary magnetic geometry.20 pages, invited contribution to the Workshop on Kinetic Theory held at the Fields Institute (Toronto), March 29 - April 2, 2004Plasma Physicstext