Hybrid Cellular Automata for Manipulating Complex and Chaotic Cellular Automata
Brian LuValle
Abstract
Control of chaos methods have been successfully applied to many small, closed, chaotic systems; however, there is a difficulty in expanding them to be applicable to large, open, chaotic systems. In this paper, a novel method of manipulating chaotic systems using hybrid cellular automata is proposed and evaluated. Four experiments are performed. The first experiment examines hybrid cellular automata in the presence of perturbations to the initial conditions. The second experiment analyzes the relationship between the total number of perturbations and the certainty that hybrid states will change. The third experiment analyzes the reachability of hybrid systems using complexity measures. The fourth experiment analyzes how phase transitions are affected by high-impact hybrid schemes.
Keywords: control of chaos; cellular automata; hybrid cellular automata; reachability; block entropy; structural entropy; block decomposition method; algorithmic information dynamics
Cite this publication as:
B. LuValle, “Hybrid Cellular Automata for Manipulating Complex and Chaotic Cellular Automata,” Complex Systems, 34(3), 2025 pp. 273–298.
https://doi.org/10.25088/ComplexSystems.34.3.273
