Remarks on the concept of dynamical systems

In this paper, the difference between the concepts of the states of a time system introduced in [1] and of the global state sets of general systems introduced in [3] is discussed. A generalization of the concepts of the global state sets and the global systems-response functions of general systems in given. The constructions of the global state sets and the corresponding global systems-response functions of a system are studied. A list of different definitions of dynamical systems is given, from which a few problems are asked, and a new definition of dynamical systems is given, which is a concept based on the mathematical models of general systems and time systems posed in [2, 3].