In modeling a system which exhibits some dynamic behavior, representation of the processes that originate the dynamic changes in the system is elementary to understanding how the system works, and also to having an accurate and meaningful model of that system. In order to model such processes, the defining characteristics of the processes prove useful in their composition and presentation. A minimal subset of those characteristics are presented here, with consideration for potential variations among them, and also consideration of possible implications that such modeling may lead to -understanding of system behavior that can be represented with such modeling, that may not be possible without these characteristics being exhibited.
INTRODUCTIONDynamic systems are systems in which something changes. It can be whatever the system is intended to perform "work" on, or it can be elements of the system itself, or perhaps just the passage of time -but if a system is dynamic, then something changes. The modeling of systems, including dynamic systems, has been shown (Tolk and Turnitsa 2012) to be most effective when it is based on an understanding of what the system is composed of, and a representation of that composition. With a dynamic system, this has been shown to include a representation of what is changing, and also the means for bringing about that change. The established view for doing such a model, especially as seen in computer science, is to represent that change as some point in time where one or more objects change state. If considered from the point of view of the object, this implies that there is a point in time where the object in one configuration of existence, and then the next instance (after the state change occurs) it is in another configuration of existence. Something about the object has changed. This is a common, and extremely useful, way of considering systems, as this view leads to models that will be implemented as simulators to be run on digital computer systems. However, as we can use discrete event simulators to implement simulations that approximate continuous systems, and because there are such systems in the world -where the process may not be a simple point change of state, but may take place over time, it becomes useful to consider how to model such processes themselves. And once processes are viewed as something that may take place over time, then it follows that they themselves may change over time (different rates of change, different effects, and other changes to their behavior -over the time that they run). In order to treat non-trivial systems with increased chances of successful representation, it appears then that the modeling of processes equally important as the modeling of the objects and states of systems. This view -resulting from considering the existential composition of models and the act of modeling -led to the research question of a recent doctoral dissertation at Old Dominion University (Turnitsa 2012). That dissertation resulted in a method for describing all of the id...