HIERARCHY OF CELLULAR AUTOMATA IN RELATION TO CONTROL OF CHAOS OR ANTICONTROL

Mario Markus, Malte Schmick, Eric Goles

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

One-dimensional binary automata are allowed to interact with each other using a 2×2 binary payoff matrix. In this way, chaotic evolution can be controlled or chaos can be induced (anticontrol). For each matrix, a hierarchy of the automata can be established as follows: an automaton with a higher rank controls (or anticontrols) an automaton with a lower rank. For some matrices and some rule number intervals, the ranking depends monotonically on the rule number.

Original languageEnglish
Title of host publicationComplexus Mundi
Subtitle of host publicationEmergent Patterns in Nature
PublisherWorld Scientific Publishing Co.
Pages297-304
Number of pages8
ISBN (Electronic)9789812774217
ISBN (Print)981256666X
DOIs
StatePublished - 1 Jan 2006
Externally publishedYes

Keywords

  • anticontrol
  • cellular automata
  • chaos control

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