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- W2953296772 abstract "We consider the Cartesian product X of n finite intervals of integers and a map F from X to itself. As main result, we establish an upper bound on the number of fixed points for F which only depends on X and on the topology of the positive circuits of the interaction graph associated with F. The proof uses and strongly generalizes a theorem of Richard and Comet which corresponds to a discrete version of the Thomas' conjecture: if the interaction graph associated with F has no positive circuit, then F has at most one fixed point. The obtained upper bound on the number of fixed points also strongly generalizes the one established by Aracena et al for a particular class of Boolean networks." @default.
- W2953296772 created "2019-06-27" @default.
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- W2953296772 date "2008-07-26" @default.
- W2953296772 modified "2023-09-25" @default.
- W2953296772 title "Positive circuits and maximal number of fixed points in discrete dynamical systems" @default.
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