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ABSTRACT
In this article, we show how to determine attractors in sequential dynamical systems on maxterm and minterm Boolean functions and their corresponding basins of attraction. Furthermore, we make possible to know when an attractor is globally attractive. As the main result of this work, upper bounds for the transient in such models are provided. In order to do that, we distinguish two possible scenarios: fixed point sequential dynamical systems and periodic orbit sequential dynamical systems.
Disclosure statement
No potential conflict of interest was reported by the authors.
Notes
1 The abbreviations CA, KN, PDS, SyDS, SDS, and GOE will be written for the singular and plural forms of the corresponding terms, since it seems better from an aesthetic point of view.
Additional information
Funding
Juan A. Aledo was supported by the Junta de Comunidades de Castilla-La Mancha grant FEDER SBPLY/17/18050/000493. Luis G. Diaz, Silvia Martinez and Jose C. Valverde were supported by FEDER OP2014-2020 of Castilla-La Mancha (Spain) under the grant 2019-GRIN-27168 and by the Ministerio de Ciencia e Innovación – Ministry of Science, Innovation and Universities of Spain under the grant PGC2018-097198-B-I00.