Recognizing Complex Behavior Emerging from Chaos in Cellular Automata

Abstract

In this research, we explain and show how a chaotic system displays non-trivial behavior as a complex system. This result is reached modifying the chaotic system using a memory function, which leads to a new system with elements of the original function which are not evident in a first step. We proof that this phenomenology can be apprehended selecting a typical chaotic function in the domain of elementary cellular automata to discover complex dynamics. By numerical simulations, we demonstrate how a number of gliders emerge in this automaton and how some controlled subsystems can be designed within this complex system.