From Complex Systems Simulation to the Geometric Theory of Behavior

摘要

This work provides a language environment to describe and study complex systems behavior, as well as methods for its programming and modifying. We consider a class of simulation models represented by species of structure in the N. Bourbaki sense. We consider the morphisms of the base sets of these structures and special attention is on the methods responsible for the model’s actions. It occurs that unrestricted mappings of base sets can lead the system up to the opposite behavior. We can use invariants as restrictions of possible mappings, if demand their preservation from admissible morphisms. As a result, we can obtain a classification of the behavior of systems depending on the invariants that persist during the transformations of behavior.