Order and chaos in ETG-driven drift-dissipative waves with sheared flows

We derive a system of nonlinear equations that govern the dynamics of low-f requency short-wavelength electromagnetic wares in the presence of equilibr ium density, temperature, magnetic field and velocity gradients. In the lin ear limit, a local dispersion relation is obtained and analyzed. New eta(e) -driven electromagnetic drift modes and instabilities are shown to exist. I n the nonlinear case, the temporal behaviour of a nonlinear dissipative sl- stem can be written in the form of Lorenz- and Stenflo-type equations that admit chaotic trajectories. On the other hand, the stationary solutions of the nonlinear system can be represented in the form of dipolar and vortex-c hain solutions.