ABSTRACT
Cybernetical systems are natural systems with complex phenomena in a multi-dimensional environment. The concept of a physical field is given here as a three-dimensional field of (x, y, z), where x, y are considered a surface coordinates and z, a space coordinate. This chapter examines how to identify a system in a physical field using the knowledge of certain variables and considering their interactions in the environment and with physical laws. Discrete mathematics is based on replacing differentials by finite differences measured at the mesh points of a rectangular spatial mesh or grid. The chapter presents examples to illustrate the identification of one-dimensional and multi-dimensional physical fields related to the processes in the ecosystem. It also gives some examples of correspondence between linear differential equations and their finite-difference analogues. A brief description about the formation of “input-output matrix” is given which is followed by an explanation of the problem formulations.
