{"id":"https://openalex.org/W2024563819","doi":"https://doi.org/10.1016/s0005-1098(01)00079-6","title":"Behavior decompositions and two-sided diophantine equations","display_name":"Behavior decompositions and two-sided diophantine equations","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W2024563819","doi":"https://doi.org/10.1016/s0005-1098(01)00079-6","mag":"2024563819"},"language":"en","primary_location":{"id":"doi:10.1016/s0005-1098(01)00079-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(01)00079-6","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5014999817","display_name":"Mauro Bisiacco","orcid":"https://orcid.org/0000-0002-0648-3213"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Bisiacco","raw_affiliation_strings":["Dip. Elettronica ed Informatica, Univ. di Padova, via Gradenigo 6/A, 35131 Padova, Italy","Dip. Elettronica ed Informatica, Univ. di Padova, via Gradenigo 6/A, 35131 Padova, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dip. Elettronica ed Informatica, Univ. di Padova, via Gradenigo 6/A, 35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dip. Elettronica ed Informatica, Univ. di Padova, via Gradenigo 6/A, 35131 Padova, Italy#TAB#","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064493313","display_name":"Maria Elena Valcher","orcid":"https://orcid.org/0000-0002-7595-3688"},"institutions":[{"id":"https://openalex.org/I4210096856","display_name":"Innovation Engineering (Italy)","ror":"https://ror.org/00sxjp357","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210096856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maria Elena Valcher","raw_affiliation_strings":["Dip. Ingegneria dell'Innovazione, Univ. di Lecce, via Monteroni, 73100 Lecce, Italy","Dip. Ingegneria dell'Innovazione, Univ. di Lecce, via Monteroni, 73100 Lecce, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dip. Ingegneria dell'Innovazione, Univ. di Lecce, via Monteroni, 73100 Lecce, Italy","institution_ids":["https://openalex.org/I4210096856"]},{"raw_affiliation_string":"Dip. Ingegneria dell'Innovazione, Univ. di Lecce, via Monteroni, 73100 Lecce, Italy#TAB#","institution_ids":["https://openalex.org/I4210096856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064493313"],"corresponding_institution_ids":["https://openalex.org/I4210096856"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":1.3118,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.811636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"37","issue":"9","first_page":"1387","last_page":"1395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9858999848365784,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9666000008583069,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.9633880257606506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8370344042778015},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.602907121181488},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.48834750056266785},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.47795653343200684},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.4379828870296478},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4376918375492096},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43622633814811707},{"id":"https://openalex.org/keywords/diophantine-geometry","display_name":"Diophantine geometry","score":0.42566001415252686},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42256584763526917},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4104682505130768},{"id":"https://openalex.org/keywords/diophantine-set","display_name":"Diophantine set","score":0.3883930444717407},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3144073188304901},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06666001677513123}],"concepts":[{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.9633880257606506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8370344042778015},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.602907121181488},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.48834750056266785},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.47795653343200684},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.4379828870296478},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4376918375492096},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43622633814811707},{"id":"https://openalex.org/C555856410","wikidata":"https://www.wikidata.org/wiki/Q65122107","display_name":"Diophantine geometry","level":4,"score":0.42566001415252686},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42256584763526917},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4104682505130768},{"id":"https://openalex.org/C40621787","wikidata":"https://www.wikidata.org/wiki/Q16251580","display_name":"Diophantine set","level":3,"score":0.3883930444717407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3144073188304901},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06666001677513123},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0005-1098(01)00079-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(01)00079-6","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/2473144","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2473144","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W50046789","https://openalex.org/W417882504","https://openalex.org/W1598571995","https://openalex.org/W1905866551","https://openalex.org/W2011347541","https://openalex.org/W2018333597","https://openalex.org/W2043282684","https://openalex.org/W2086129395","https://openalex.org/W2086742230","https://openalex.org/W2738635245","https://openalex.org/W2755764480","https://openalex.org/W2798813531","https://openalex.org/W4233392889","https://openalex.org/W6815054917"],"related_works":["https://openalex.org/W2323172212","https://openalex.org/W1192275632","https://openalex.org/W4390811435","https://openalex.org/W2002218639","https://openalex.org/W628953459","https://openalex.org/W2333864116","https://openalex.org/W2391619745","https://openalex.org/W4251414202","https://openalex.org/W4212878265","https://openalex.org/W3104648538"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}