ABSTRACT
One of the basic problems in the study of linear and nonlinear dynamical electrical networks is the analysis of the underlying descriptive equations and their solution manifold. In the case of linear or affine networks, the constitutive relations of network elements are restricted to classes of linear or affine functions and, therefore, possess rather restricted types of solutions. In contrast, the solution manifold of nonlinear networks may consist of many different types. Naturally, it is useful to decompose nonlinear networks into classes that possess certain similarities. One approach, for example, is to consider the solution manifold and to decompose solutions into similar classes. Furthermore, if the descriptive differential equations of dynamic networks are considered to be mathematical sets, their decompositions will be of interest.
