{"id":"https://openalex.org/W2916328840","doi":"https://doi.org/10.1080/00207160.2019.1585825","title":"Line attractors of coupled ring neural networks with block circulant weight matrix","display_name":"Line attractors of coupled ring neural networks with block circulant weight matrix","publication_year":2019,"publication_date":"2019-02-22","ids":{"openalex":"https://openalex.org/W2916328840","doi":"https://doi.org/10.1080/00207160.2019.1585825","mag":"2916328840"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1585825","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1585825","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"],"host_organization_lineage_names":["Taylor & Francis"],"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/A5053249843","display_name":"Jiali Yu","orcid":"https://orcid.org/0000-0002-5895-0805"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiali Yu","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100388188","display_name":"Yi Zhang","orcid":"https://orcid.org/0000-0002-5867-9322"},"institutions":[{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]},{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang Yi","raw_affiliation_strings":["College of Computer Science, Sichuan University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I4210125143","https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108338888","display_name":"Jinsong Leng","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinsong Leng","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053249843"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":0.5601,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.737249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"97","issue":"3","first_page":"687","last_page":"699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9733999967575073,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9526000022888184,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.9435731172561646},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7893986701965332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7420279383659363},{"id":"https://openalex.org/keywords/subnetwork","display_name":"Subnetwork","score":0.7367000579833984},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6917278170585632},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6264645457267761},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.48411476612091064},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.483296662569046},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4530961811542511},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.44621002674102783},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3691385090351105},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3684161603450775},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3511750400066376},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.333577036857605},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.3191257417201996},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2823584973812103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1771775186061859},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1231461763381958},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10186383128166199},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09461727738380432}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.9435731172561646},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7893986701965332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7420279383659363},{"id":"https://openalex.org/C2780186347","wikidata":"https://www.wikidata.org/wiki/Q11414","display_name":"Subnetwork","level":2,"score":0.7367000579833984},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6917278170585632},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6264645457267761},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.48411476612091064},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.483296662569046},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4530961811542511},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.44621002674102783},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3691385090351105},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3684161603450775},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3511750400066376},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.333577036857605},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.3191257417201996},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2823584973812103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1771775186061859},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1231461763381958},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10186383128166199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09461727738380432},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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:10.1080/00207160.2019.1585825","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1585825","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"],"host_organization_lineage_names":["Taylor & Francis"],"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":[{"id":"https://openalex.org/G1967462122","display_name":null,"funder_award_id":"61572112, 61103041, 61432012, U1435213, LJT10110010115, 61803228","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1503602982","https://openalex.org/W1572063013","https://openalex.org/W1578196132","https://openalex.org/W1993545737","https://openalex.org/W2008240154","https://openalex.org/W2014966184","https://openalex.org/W2022401803","https://openalex.org/W2029374903","https://openalex.org/W2047807449","https://openalex.org/W2075885336","https://openalex.org/W2094978042","https://openalex.org/W2097671547","https://openalex.org/W2108902061","https://openalex.org/W2125805354","https://openalex.org/W2130748394","https://openalex.org/W2131659116","https://openalex.org/W2145456480","https://openalex.org/W2149422514","https://openalex.org/W2157518752","https://openalex.org/W2161758637","https://openalex.org/W2165443127","https://openalex.org/W2172547644","https://openalex.org/W2298027766","https://openalex.org/W2462610458","https://openalex.org/W2912742828","https://openalex.org/W4234152045"],"related_works":["https://openalex.org/W2133339613","https://openalex.org/W2123448878","https://openalex.org/W4288333409","https://openalex.org/W2950170321","https://openalex.org/W3036983409","https://openalex.org/W4238100916","https://openalex.org/W1566089244","https://openalex.org/W2029589275","https://openalex.org/W4248357922","https://openalex.org/W2158681544"],"abstract_inverted_index":{"The":[0,31,55],"continuous":[1,69,75],"attractors":[2],"of":[3,16,35],"neural":[4],"networks":[5],"with":[6,61],"symmetric":[7],"connection":[8,32,45,64],"weights":[9],"have":[10],"been":[11],"studied":[12],"widely.":[13],"However,":[14],"most":[15],"the":[17,24,43,74],"matrices":[18],"are":[19],"asymmetric.":[20,54],"In":[21],"this":[22,59],"paper,":[23],"model":[25,60],"is":[26,38,47,53,71,77],"coupled":[27],"by":[28],"some":[29],"subnetworks.":[30],"weight":[33,65],"matrix":[34,46,51,66],"each":[36],"subnetwork":[37],"a":[39,48,78],"circulant":[40,50,63],"matrix,":[41],"so":[42],"whole":[44],"block":[49,62],"which":[52],"conditions":[56],"that":[57],"guarantee":[58],"to":[67],"possess":[68],"attractor":[70,76],"obtained.":[72],"Furthermore,":[73],"one-dimensional":[79],"line":[80],"attractor.":[81]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
