The chapter describes the existing approach to modeling dynamic systems. The rules of the transfer of properties and conditions from cell to cell in cellular automata of various organizations are considered. The basic cell structures are presented in the transfer of only states, as well as properties of cell activity and states. The options are considered when the cell itself selects a cell among the cells in the neighborhood that will become active in the next time step. Also is considered is the option when the cell analyzes the state of neighboring cells and, based on the results of the local state function, makes a decision about the transition to the active state or not. An embodiment of a cell for transmitting an active state is described, only to cells with a given local logical function. Cell structures and their CAD models are constructed.
TopExisting Approaches To Modeling Dynamic Processes
Everything in the modern world is changing in space and time. The process of changing any properties of objects or processes in space and time is called a dynamic process. Various dynamic processes constantly occur in the world. The most understandable dynamic process for humans is the movement of an object. A moving object is precisely determined by a change in its location in space at various points in time.
However, the coordinates of objects do not change in space in many dynamic processes. In this case, other quantitative characteristics of the properties of the object may change or the properties of the object itself may change. New properties may appear or existing properties may disappear.
The dynamic process is characterized by two factors:
The structure of the system determines the order of interaction of its elements that implement a specific function. In such a system, the paradigm of the dynamic process is embedded.
In the literature, a dynamic system is defined as a set of elements for which a functional relationship between time and position in the phase space of each element of the system is given (Evlanov, 1972; Giunti, & Mazzola, 2012; Galor, 2010).
The phase space of the system describes all possible states in which the system may be. A sequence of states describes the behavior of the system in time and space, and a description of the sequence of states of the system in time from the initial one represents the evolution of the system in time.
Each dynamic process is determined by an initial and final time count. The amount of time between the initial and final time samples determines the life cycle of a dynamic process. During the life cycle (LC), various changes in the quantitative characteristics of various properties of objects occur. Thus, LC can be defined by a variety of states of systems and elements that are affected by a dynamic process (DP).
The length of the life cycle of all DPs is determined by the energy charge or the amount of energy required to perform the DP.
The amount of energy and energy charge of a dynamic process is not always determined by physical energy such as, for example, the amount of fuel to move a car 100 km. There are many dynamic processes whose LCs are determined by the structure of the system and its initial settings. For example, a huge number of people live on earth, but each of them lived a certain amount of time.