  The classical Lorenz lowest order system of three nonlinear ordinary
differential equations, capable of producing chaotic solutions, has been
generalized by various authors in two main directions: (i) for number of
equations larger than three (Curry1978) and (ii) for the case of complex
variables and parameters. Problems of laser physics and geophysical fluid
dynamics (baroclinic instability, geodynamic theory, etc. - see the references)
can be related to this second aspect of generalization. In this paper we study
the asymptotic properties of some complex Lorenz systems, keeping in the mind
the physical basis of the model mathematical equations.
