Abstract
Discrete dynamical systems based on dependency digraphs play an important role in the mathematical theory of computer simulation. In this paper, we are concerned with word-updating dynamical systems (WDS) on digraphs, which is a generalization of sequential dynamical systems (SDS) on graphs defined by Barrett et al. By defining an equivalence relation, we obtain the number of different WDS for the given dependency digraph and local functions. It is shown that WDS with the NOR function are closely related to combinatorial properties of the dependency digraphs.
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Supported by the Chenguang Project in Shanghai City (2008CG40).
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Chen, D., Zheng, J., Wu, X. (2008). Computer Simulation and Word-Updating Dynamical Systems (WDS) on Digraphs . In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2008. Lecture Notes in Computer Science(), vol 5227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85984-0_26
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DOI: https://doi.org/10.1007/978-3-540-85984-0_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85983-3
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