{"id":"https://openalex.org/W2121355290","doi":"https://doi.org/10.1109/iscas.2005.1465674","title":"On Global Dynamic Behavior of Weakly Connected Cellular Nonlinear Networks","display_name":"On Global Dynamic Behavior of Weakly Connected Cellular Nonlinear Networks","publication_year":2005,"publication_date":"2005-07-27","ids":{"openalex":"https://openalex.org/W2121355290","doi":"https://doi.org/10.1109/iscas.2005.1465674","mag":"2121355290"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2005.1465674","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2005.1465674","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5064241662","display_name":"Marco Gilli","orcid":"https://orcid.org/0000-0001-5765-4046"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Gilli","raw_affiliation_strings":["Department of Electronics, Politecnico di Turino, Torino, Italy","Dept of Electron., Politecnico di Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Politecnico di Turino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dept of Electron., Politecnico di Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053494231","display_name":"Michele Bonnin","orcid":"https://orcid.org/0000-0002-9106-563X"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Bonnin","raw_affiliation_strings":["Department of Electronics, Politecnico di Turino, Torino, Italy","Dept of Electron., Politecnico di Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Politecnico di Turino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dept of Electron., Politecnico di Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016472360","display_name":"Fernando Corinto","orcid":"https://orcid.org/0000-0003-4431-5701"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Corinto","raw_affiliation_strings":["Department of Electronics, Politecnico di Turino, Torino, Italy","Dept of Electron., Politecnico di Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Politecnico di Turino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dept of Electron., Politecnico di Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":null,"first_page":"4669","last_page":"4672"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7064384818077087},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5849219560623169},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5177023410797119},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4766205847263336},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4690718352794647},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.44012802839279175},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42609652876853943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42343661189079285},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4125629663467407},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40591251850128174},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4004844129085541},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38905611634254456},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3261786103248596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29473549127578735},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2777974009513855}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7064384818077087},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5849219560623169},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5177023410797119},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4766205847263336},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4690718352794647},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.44012802839279175},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42609652876853943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42343661189079285},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4125629663467407},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40591251850128174},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4004844129085541},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38905611634254456},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3261786103248596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29473549127578735},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2777974009513855},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iscas.2005.1465674","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2005.1465674","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:porto.polito.it:1675827","is_oa":false,"landing_page_url":"http://porto.polito.it/1675827/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W1504779342","https://openalex.org/W1570173134","https://openalex.org/W1974910099","https://openalex.org/W2083296171","https://openalex.org/W2111594240","https://openalex.org/W2127048128","https://openalex.org/W2147775182","https://openalex.org/W2149525340","https://openalex.org/W2151162785","https://openalex.org/W2157016755","https://openalex.org/W4231972298"],"related_works":["https://openalex.org/W2353396818","https://openalex.org/W2370473919","https://openalex.org/W2390496461","https://openalex.org/W2389654532","https://openalex.org/W2369545560","https://openalex.org/W2355429547","https://openalex.org/W2373218684","https://openalex.org/W2389219417","https://openalex.org/W2762984199","https://openalex.org/W2393881125"],"abstract_inverted_index":{"It":[0],"is":[1,40,66],"shown":[2],"that":[3,56,92],"the":[4,17,25,49,54,58,63,69,82,86,93],"global":[5],"dynamics":[6],"of":[7,20,24,36,48,72,85,103],"weakly":[8,104],"connected":[9,105,115],"cellular":[10],"nonlinear":[11,106],"networks":[12,116],"can":[13,96,117],"be":[14,97,118],"investigated":[15],"through":[16],"joint":[18],"application":[19],"Malkin's":[21],"theorem":[22],"and":[23,75,113],"describing":[26],"function":[27],"technique.":[28],"As":[29],"a":[30,33,43,100],"case":[31],"study":[32,84],"one-dimensional":[34],"array":[35],"third":[37],"order":[38],"oscillators":[39],"considered.":[41],"Firstly":[42],"very":[44],"accurate":[45],"analytical":[46,83],"expression":[47],"phase":[50,59,87],"deviation":[51,60,88],"equation":[52,55],"(i.e.":[53],"describes":[57],"due":[61],"to":[62,99],"weak":[64],"coupling)":[65],"derived.":[67],"Then":[68],"total":[70],"number":[71],"limit":[73],"cycles":[74],"their":[76],"stability":[77],"properties":[78],"are":[79],"estimated":[80],"via":[81],"equation.":[89],"We":[90],"remark":[91],"proposed":[94],"technique":[95],"applied":[98],"large":[101],"class":[102],"networks.":[107],"In":[108],"particular":[109],"two-dimensional,":[110],"space":[111],"variant":[112],"fully":[114],"dealt":[119],"with.":[120]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}