A differentiable dynamic complex is a generalized dynamical system. A differentiable dynamic complex is defined as an extension of the concept of an orientor equation and is a generalization of the constructive definition of a differential dynamic system, as discussed in this paper. The constructive definition of a differential dynamic system considered here has been obtained through generalization of the mathematical model of non-linear electrical network. Basic definitions are introduced and theorems on the problem of finding the space of motion and the dynamic equation of a differentiable dynamic complex are presented. The main conclusion is that the space of motion of the differentiable dynamic complex ℘ is the set union of all ℘-invariant submanifolds of the configuration space of ℘. Examples of differentiable dynamic complexes and differential dynamic systems are given.