Interconnection of asynchronous Boolean networks, asymptotic and transient dynamics

@article{Tournier2013InterconnectionOA,
  title={Interconnection of asynchronous Boolean networks, asymptotic and transient dynamics},
  author={Laurent Tournier and Madalena Chaves},
  journal={Automatica},
  year={2013},
  volume={49},
  pages={884-893}
}
The dynamics of the interconnection of two Boolean networks is analyzed directly from the properties of the two individual modules. Motivated by biological systems where multiple timescales are present, we consider asynchronous Boolean networks, whose dynamics can be described by non-deterministic transition graphs. Two new objects are introduced, the asymptotic and the crossgraphs, constructed from the strongly connected components of the modules’ transition graphs. It is then proved that the… CONTINUE READING
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