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Author | Aledo, J.A.; Goles, E.; Montalva-Medel, M.; Montealegre, P.; Valverde, J.C. | ||||
Title | Symmetrizable Boolean networks | Type | |||
Year | 2023 | Publication | Information Sciences | Abbreviated Journal | Inf. Sci. |
Volume | 626 | Issue | Pages | 787-804 | |
Keywords | Generalized parallel dynamical system; Period structure; Limit cycles, Symmetric and anti-symmetric networks; Symmetrizable networks | ||||
Abstract | In this work, we provide a procedure that allows us to transform certain kinds of deterministic Boolean networks on minterm or maxterm functions into symmetric ones, so inferring that such symmetrizable networks can present only periodic points of periods 1 or 2. In particular, we deal with generalized parallel (or synchronous) dynamical systems (GPDS) over undirected graphs, i. e., discrete parallel dynamical systems over undirected graphs where some of the self-loops may not appear. We also study the class of anti-symmetric GPDS (which are non-symmetrizable), proving that their periodic orbits have period 4. In addition, we introduce a class of non-symmetrizable systems which admit periodic orbits with arbitrary large periods. | ||||
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Corporate Author | Thesis | ||||
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Language | Summary Language | Original Title | |||
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ISSN | 0020-0255 | ISBN | Medium | ||
Area | Expedition | Conference | |||
Notes | WOS:000925957000001 | Approved | |||
Call Number | UAI @ alexi.delcanto @ | Serial | 1745 | ||
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