2014 | OriginalPaper | Buchkapitel
Towards a Comprehensive Understanding of Multi-state Cellular Automata
verfasst von : Jan M. Baetens, Bernard De Baets
Erschienen in: Cellular Automata
Verlag: Springer International Publishing
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Motivated by the fact that many cellular automata (CAs) for describing biological, physical or chemical processes are built upon more than two states, whereas most the majority of results on the stability of CAs is restricted to two-state CAs, we show in this paper how non-directional Lyapunov exponents can be used to assess the stability of multi-state CAs. Moreover, we pay particular attention to the different types of defects that may emerge during the evolution of such CAs from a single initial defect of a given type. Numerical results are presented for the family of three-state totalistic CAs.