@inbook {IOPORT.06105845,
    author       = {Mortveit, Henning S.},
    title        = {Limit cycle structure for block-sequential threshold systems.},
    year         = {2012},
    booktitle    = {Cellular automata. 10th international conference on cellular automata for research and industry, ACRI 2012, Santorini Island, Greece, September 24--27, 2012. Proceedings},
    isbn         = {978-3-642-33349-1},
    pages        = {672-678},
    publisher    = {Berlin: Springer},
    doi          = {10.1007/978-3-642-33350-7_69},
    abstract     = {Summary: This paper analyzes the possible limit set structures for the standard threshold block-sequential finite dynamical systems. As a special case of their work on Neural Networks (generalized threshold functions), Goles and Olivos (1981 [2]) showed that for the single block case (parallel update) one may only have fixed points and 2-cycles as $\omega $-limit sets. Barrett et al (2006 [1]), but also Goles et al (1990 [3]) as a special case, proved that for the case with $n$ blocks (sequential update) the only $\omega $-limit sets are fixed points. This paper generalizes and unifies these results to standard threshold systems with block-sequential update schemes.},
    identifier   = {06105845},
}