Resonant energetic particles play a major role in determining the stab
ility of toroidal Alfven eigenmodes (TAE's) by yielding the well-known
driving mechanism for the instability and by producing an effective d
issipation, which removes the singular character of local oscillations
of the shear-Alfven continuum and gives discrete kinetic Alfven waves
(KAW's). Toroidal coupling of two counterpropagating KAW's generates
the kinetic analog of the TAE, the KTAE (kinetic TAE). The nonperturba
tive character of this phenomenon and of the coupling between TAE and
KAW's, and the relevance of finite drift-orbit effects limit the effec
tiveness of the analytical approach to asymptotic regimes, which are d
ifficult to compare with realistic situations. A three-dimensional hyb
rid fluid-particle initial-value code for the numerical simulation of
the linear and nonlinear evolution of toroidal modes of the Alfven bra
nch has been developed. It is shown that for typical parameters the KT
AE is, indeed, more unstable than the TAE. (C) 1995 American Institute
of Physics.