Chaotic Phenomena in Collective Behavior

The paper is intended to discover a chaotic behavior in collective of a number of interacting dynamic systems with the goal oriented learning. Previously it was shown that these semi-independent systems are able to achieve their individual goals iff the vector of these goals belongs to a certain area. We call this behavior pattern as collective automata behavior that maybe successful or not. Past research showed a similar property in collective of a pair of finite state automata that also have a similar restriction for successful behavior. Computer experiments performed in this paper for case have demonstrated that some chaos is present both outside of the area, and within it. Analogous chaotic phenomena were not mentioned before in collective behavior of intelligent agents. However, these phenomena are undoubtedly important for practical applications where goals for intelligent dynamic systems either established from outside, or chosen by systems independently. They may produce some undesirable, even harmful global effects in implemented technical devices. © Springer Nature Switzerland AG 2019.