Application of group theory to linear dynamical systems. Part 2: Continuous groups and infinitesimal transformations

The theory required to apply the concepts of continuous group and infinitesimal transformation to linear dynamical systems is briefly reviewed. This theory is then applied to the linear electrical network. It is shown that, for a simple class of network, a set of differential equations may be obtained which governs the continuous generation of networks having an invariant property while retaining the same structure.