On the preservation of limit cycles in Boolean networks under different updating schemes

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6 Citas (Scopus)

Resumen

Boolean networks under different deterministic updating schemes are analyzed. It is direct to show that fixed points are invariant against changes in the updating scheme, nevertheless, it is still an open problem to fully understand what happens to the limit cycles. In this paper, a theorem is presented which gives a sufficient condition for a Boolean network not to share the same limit cycle under different updating modes. We show that the hypotheses of the theorem are sharp, in the sense that if any of these hypotheses do not hold, then shared limit cycles may appear. We find that the connectivity of the network is an important factor as well as the Boolean functions in each node, in particular the XOR functions.

Idioma originalInglés
Título de la publicación alojadaProceedings of the 12th European Conference on the Synthesis and Simulation of Living Systems
Subtítulo de la publicación alojadaAdvances in Artificial Life, ECAL 2013
EditorialMIT Press Journals
Páginas1085-1090
Número de páginas6
ISBN (versión digital)9780262317092
DOI
EstadoPublicada - 2013
Publicado de forma externa
Evento12th European Conference on the Synthesis and Simulation of Living Systems: Advances in Artificial Life, ECAL 2013 - Sicily, Italia
Duración: 2 sep. 20136 sep. 2013

Serie de la publicación

NombreProceedings of the 12th European Conference on the Synthesis and Simulation of Living Systems: Advances in Artificial Life, ECAL 2013

Conferencia

Conferencia12th European Conference on the Synthesis and Simulation of Living Systems: Advances in Artificial Life, ECAL 2013
País/TerritorioItalia
CiudadSicily
Período2/09/136/09/13

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