Geometric methods to treat energy transport phenomena

In the framework of the proposed technique, the calculation procedure is divided into the phases: 1. Set up of the initial conditions; 2. Calculating the flux field; 3. Calculating the intensity distributions. The initial conditions, necessary to construct the first atlas surface, may be taken from experimental results and/or from auxiliary models. To test the model accuracy, local and global invariance principles, defined at point or by finite surface or volume integrals can be used. Finally it has to be mentioned, the here described method allows to investigate at point disturbances, as attractors, bifurcations, that means the influence of critical phase-space points related to background, as well as calculated fields. Self-consistent effects can be taken into account by subroutines.