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Boolean asynchronous systems: the concept of attractor

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dc.contributor.author VLAD, Serban E.
dc.date.accessioned 2020-11-02T19:00:15Z
dc.date.available 2020-11-02T19:00:15Z
dc.date.issued 2018
dc.identifier.citation VLAD, Serban E. Boolean asynchronous systems: the concept of attractor. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, p. 43. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11005
dc.description Only Abstract en_US
dc.description.abstract The Boolean asynchronous systems are systems generated by the functions Φ : {0, 1}n −→{0, 1}n which iterate their coordinates independently on each other. Our purpose is to introduce their attractors by analogy with the dynamical systems literature. The attractors are defined by Andrew Ilachinski in a real space, real time context (David Ruelle, Floris Takens, Jean-Pierre Eckmann and Robert Devaney are also cited) as sets that fulfill invariance, attractivity, minimality and topological transitivity is mentioned also. John Milnor refers to real space, discrete time dynamical systems. He defines the trapped attractors, the trapping neighborhoods (or trapped attracting sets) and finally the attractors, in a manner that proves to be equivalent to that of D. V. Anosov, V. I. Arnold, Michael Brin, Garrett Stuck, Boris Hasselblatt, Anatole Katok and Jurgen Jost. Such suggestions that we have grouped around the ideas of Ilachinski and Milnor bring in the Boolean asynchronous context a unique concept of attractor. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject Boolean asynchronous systems en_US
dc.subject dynamical systems en_US
dc.subject attractors en_US
dc.title Boolean asynchronous systems: the concept of attractor en_US
dc.type Article en_US


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