{"id":"https://openalex.org/W2962959998","doi":"https://doi.org/10.1080/00207160.2019.1647338","title":"Attractors and transient in sequential dynamical systems","display_name":"Attractors and transient in sequential dynamical systems","publication_year":2019,"publication_date":"2019-07-23","ids":{"openalex":"https://openalex.org/W2962959998","doi":"https://doi.org/10.1080/00207160.2019.1647338","mag":"2962959998"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1647338","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1647338","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054628996","display_name":"Juan A. Aledo","orcid":"https://orcid.org/0000-0003-1786-8087"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan A. Aledo","raw_affiliation_strings":["Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]},{"raw_affiliation_string":"Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062647996","display_name":"Luis G. Diaz","orcid":"https://orcid.org/0000-0002-4621-6582"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luis G. Diaz","raw_affiliation_strings":["Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]},{"raw_affiliation_string":"Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109593686","display_name":"S\u00edlvia Mart\u00ednez","orcid":null},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Silvia Martinez","raw_affiliation_strings":["Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]},{"raw_affiliation_string":"Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028590281","display_name":"Jos\u00e9 C. Valverde","orcid":"https://orcid.org/0000-0002-3214-9606"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose C. Valverde","raw_affiliation_strings":["Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Castilla \u2013 La Mancha, Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]},{"raw_affiliation_string":"Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028590281"],"corresponding_institution_ids":["https://openalex.org/I79189158"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05503069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"97","issue":"1-2","first_page":"467","last_page":"481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9620000123977661,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.9305444359779358},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.8077377676963806},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.623776912689209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6057295799255371},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.579759418964386},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.49362242221832275},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45620203018188477},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.44874781370162964},{"id":"https://openalex.org/keywords/crisis","display_name":"Crisis","score":0.4425560534000397},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.419761061668396},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.40262147784233093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3008224368095398},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19354316592216492},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.16907614469528198},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.15896353125572205},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13489896059036255},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10134699940681458}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9305444359779358},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.8077377676963806},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.623776912689209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6057295799255371},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.579759418964386},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.49362242221832275},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45620203018188477},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.44874781370162964},{"id":"https://openalex.org/C78302928","wikidata":"https://www.wikidata.org/wiki/Q5185947","display_name":"Crisis","level":4,"score":0.4425560534000397},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.419761061668396},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40262147784233093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3008224368095398},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19354316592216492},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.16907614469528198},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.15896353125572205},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13489896059036255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10134699940681458},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2019.1647338","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1647338","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W621998161","https://openalex.org/W1523296758","https://openalex.org/W1932819214","https://openalex.org/W1966191553","https://openalex.org/W1967262753","https://openalex.org/W1971224531","https://openalex.org/W1976735018","https://openalex.org/W1978443179","https://openalex.org/W1981097681","https://openalex.org/W1986373777","https://openalex.org/W1986397639","https://openalex.org/W1994800421","https://openalex.org/W2019107258","https://openalex.org/W2026210450","https://openalex.org/W2027223427","https://openalex.org/W2036424138","https://openalex.org/W2042136209","https://openalex.org/W2047259686","https://openalex.org/W2056901975","https://openalex.org/W2062031702","https://openalex.org/W2072891907","https://openalex.org/W2077720193","https://openalex.org/W2082696620","https://openalex.org/W2083089726","https://openalex.org/W2094976376","https://openalex.org/W2155132287","https://openalex.org/W2163593235","https://openalex.org/W2166214692","https://openalex.org/W2184881690","https://openalex.org/W2276585742","https://openalex.org/W2575879015","https://openalex.org/W2614025017","https://openalex.org/W2887272978","https://openalex.org/W2888759610","https://openalex.org/W2920912432","https://openalex.org/W2954789367","https://openalex.org/W2963357480"],"related_works":["https://openalex.org/W2592279130","https://openalex.org/W2030260628","https://openalex.org/W2070724789","https://openalex.org/W2186586439","https://openalex.org/W1999265438","https://openalex.org/W2785433934","https://openalex.org/W1969155098","https://openalex.org/W2029443974","https://openalex.org/W1499880030","https://openalex.org/W2230570839"],"abstract_inverted_index":{"In":[0,54],"this":[1,42],"article,":[2],"we":[3,26,59],"show":[4],"how":[5],"to":[6,29,56],"determine":[7],"attractors":[8],"in":[9,49],"sequential":[10,66,72],"dynamical":[11,67,73],"systems":[12,68],"on":[13],"maxterm":[14],"and":[15,19,69],"minterm":[16],"Boolean":[17],"functions":[18],"their":[20],"corresponding":[21],"basins":[22],"of":[23,41],"attraction.":[24],"Furthermore,":[25],"make":[27],"possible":[28,62],"know":[30],"when":[31],"an":[32],"attractor":[33],"is":[34],"globally":[35],"attractive.":[36],"As":[37],"the":[38,47],"main":[39],"result":[40],"work,":[43],"upper":[44],"bounds":[45],"for":[46],"transient":[48],"such":[50],"models":[51],"are":[52],"provided.":[53],"order":[55],"do":[57],"that,":[58],"distinguish":[60],"two":[61],"scenarios:":[63],"fixed":[64],"point":[65],"periodic":[70],"orbit":[71],"systems.":[74]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}