This chapter presents several advanced applications of the new method for automated mathematical modelling and simulation. It describes the application of the new methods for automated modelling and simulation to robotic dynamic systems, which is a very important application in the control of real-world robot arms and general robotic systems. The chapter focuses on the application of new methods for modelling and simulation to the problem of understanding the dynamic behavior of biochemical reactors in the food industry, which is also very important for the control of this type of dynamical systems. It considers the problem of modelling and simulation of international trade dynamics, which is an interesting problem in economics and finance. The chapter also considers the problem of modelling and simulation of aircrafts, as this is important for the real-world problem of automatic aircraft control.