Lecture Notes on Methods of Nonlinear Dynamical Analysis

This monograph gives a quantitative theory of nonlinear systems for the investigation of large-scale systems with interconnected finite - dimensional subsystems. The comparison principle, established by the author, is used to give some algorithms for deriving theorems concerning different dynamical properties of nonlinear systems, so that there is a possibility of obtaining hundreds of new theorems and generalizations by computer. In addition, the methods of Vector Lyapunov Functions are described and important applications to dynamical analyses of orbital telescopes, spacecrafts, aircrafts, ecological immunological systems are included.