{"id":"https://openalex.org/W2017508413","doi":"https://doi.org/10.1142/s0218127404011053","title":"DYNAMICS FOR DISCRETE-TIME CELLULAR NEURAL NETWORKS","display_name":"DYNAMICS FOR DISCRETE-TIME CELLULAR NEURAL NETWORKS","publication_year":2004,"publication_date":"2004-08-01","ids":{"openalex":"https://openalex.org/W2017508413","doi":"https://doi.org/10.1142/s0218127404011053","mag":"2017508413"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404011053","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404011053","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5112156632","display_name":"Shyan-Shiou Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"SHYAN-SHIOU CHEN","raw_affiliation_strings":["Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan, R. O. C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan, R. O. C","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085085426","display_name":"Chih-Wen Shih","orcid":"https://orcid.org/0000-0001-8530-3542"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"CHIH-WEN SHIH","raw_affiliation_strings":["Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan, R. O. C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan, R. O. C","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I148366613"],"apc_list":null,"apc_paid":null,"fwci":0.7486,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.7757906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"08","first_page":"2667","last_page":"2687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991999864578247,"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":0.9983999729156494,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.7883652448654175},{"id":"https://openalex.org/keywords/cellular-neural-network","display_name":"Cellular neural network","score":0.6498464345932007},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.648558497428894},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5833998918533325},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5678961277008057},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.48587363958358765},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4753834009170532},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4697573184967041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4509262442588806},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4392777383327484},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41755348443984985},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34522339701652527},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3275981545448303},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1903185248374939},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16805875301361084},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15250816941261292},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.13973376154899597}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.7883652448654175},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.6498464345932007},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.648558497428894},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5833998918533325},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5678961277008057},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.48587363958358765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4753834009170532},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4697573184967041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4509262442588806},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4392777383327484},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41755348443984985},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34522339701652527},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3275981545448303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1903185248374939},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16805875301361084},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15250816941261292},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.13973376154899597},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404011053","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404011053","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8999999761581421,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1499586052","https://openalex.org/W1510122527","https://openalex.org/W1966067080","https://openalex.org/W1981987846","https://openalex.org/W1987660639","https://openalex.org/W1995572708","https://openalex.org/W2013733161","https://openalex.org/W2024306217","https://openalex.org/W2036458635","https://openalex.org/W2039989652","https://openalex.org/W2053285388","https://openalex.org/W2059340344","https://openalex.org/W2062011896","https://openalex.org/W2071564573","https://openalex.org/W2073309829","https://openalex.org/W2080320108","https://openalex.org/W2089876099","https://openalex.org/W2091616801","https://openalex.org/W2095247739","https://openalex.org/W2140608165","https://openalex.org/W2160121923","https://openalex.org/W4210417410","https://openalex.org/W4239883234"],"related_works":["https://openalex.org/W4287683912","https://openalex.org/W1593713154","https://openalex.org/W2052605166","https://openalex.org/W2930110478","https://openalex.org/W1972374761","https://openalex.org/W2875263903","https://openalex.org/W2075601105","https://openalex.org/W2476390833","https://openalex.org/W2378031051","https://openalex.org/W2357334030"],"abstract_inverted_index":{"This":[0],"presentation":[1],"investigates":[2],"the":[3,47,66,70,89,104,126],"dynamics":[4],"of":[5,42,49,77,106],"discrete-time":[6],"cellular":[7],"neural":[8,15],"networks":[9,16],"(DT-CNN).":[10],"In":[11],"contrast":[12],"to":[13,85,88,125],"classical":[14],"that":[17,116],"are":[18,33,54,83],"mostly":[19],"gradient-like":[20],"systems,":[21],"DT-CNN":[22,43,82,95,117],"possesses":[23],"both":[24],"complete":[25],"stability":[26,57],"and":[27],"chaotic":[28,122],"behaviors":[29],"as":[30,44,46],"different":[31],"parameters":[32,120],"considered.":[34],"An":[35],"energy-like":[36],"function":[37,72],"which":[38,69],"decreases":[39],"along":[40],"orbits":[41],"well":[45],"existence":[48,105],"a":[50],"globally":[51],"attracting":[52],"set":[53],"derived.":[55],"Complete":[56],"can":[58],"then":[59],"be":[60,86],"concluded,":[61],"with":[62,99,118],"further":[63],"analysis":[64],"on":[65,68],"sets":[67],"energy":[71],"is":[73],"constant.":[74],"The":[75],"formations":[76],"saturated":[78],"stationary":[79],"patterns":[80],"for":[81],"shown":[84],"analogous":[87],"ones":[90],"in":[91],"continuous-time":[92,100],"CNN.":[93,101],"Thus,":[94],"shares":[96],"similar":[97],"properties":[98],"By":[102],"confirming":[103],"snap-back":[107],"repellers,":[108],"hence":[109],"transversal":[110],"homoclinic":[111],"orbits,":[112],"we":[113],"also":[114],"conclude":[115],"certain":[119],"exhibits":[121],"dynamics,":[123],"according":[124],"theorem":[127],"by":[128],"Marotto.":[129]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
