{"id":"https://openalex.org/W2109523733","doi":"https://doi.org/10.1109/ijcnn.2005.1556092","title":"Computing with transiently stable states","display_name":"Computing with transiently stable states","publication_year":2006,"publication_date":"2006-01-05","ids":{"openalex":"https://openalex.org/W2109523733","doi":"https://doi.org/10.1109/ijcnn.2005.1556092","mag":"2109523733"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2005.1556092","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2005.1556092","pdf_url":null,"source":{"id":"https://openalex.org/S4363609022","display_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","raw_type":"proceedings-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/A5102063955","display_name":"Mustafa C. Ozturk","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.C. Ozturk","raw_affiliation_strings":["Electrical Engineering Department, University of Florida, Gainesville, FL, USA","Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA#TAB#","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019504861","display_name":"Jos\u00e9 C. Pr\u0131\u0301ncipe","orcid":"https://orcid.org/0000-0002-3449-3531"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.C. Principe","raw_affiliation_strings":["Electrical Engineering Department, University of Florida, Gainesville, FL, USA","Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA#TAB#","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102063955"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":null,"apc_paid":null,"fwci":2.2797,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87491289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":null,"first_page":"1467","last_page":"1472"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998999834060669,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955999851226807,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.8005844354629517},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.692865252494812},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6690601706504822},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.624061107635498},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6147100329399109},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5560271739959717},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5337396860122681},{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.5031277537345886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4741498827934265},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.43565064668655396},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4212123453617096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3020009398460388},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16218838095664978},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.12641039490699768},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09830573201179504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09648081660270691},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08806562423706055},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06838434934616089}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.8005844354629517},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.692865252494812},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6690601706504822},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.624061107635498},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6147100329399109},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5560271739959717},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5337396860122681},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.5031277537345886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4741498827934265},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.43565064668655396},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4212123453617096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3020009398460388},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16218838095664978},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.12641039490699768},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09830573201179504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09648081660270691},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08806562423706055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06838434934616089},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ijcnn.2005.1556092","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2005.1556092","pdf_url":null,"source":{"id":"https://openalex.org/S4363609022","display_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.331.5987","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.331.5987","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cnel.ufl.edu/files/1162501141.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1596321532","https://openalex.org/W2062258383","https://openalex.org/W2066381067","https://openalex.org/W2177218873","https://openalex.org/W2798813531","https://openalex.org/W2984082012","https://openalex.org/W4206651839","https://openalex.org/W6945068569"],"related_works":["https://openalex.org/W2056626217","https://openalex.org/W1541871911","https://openalex.org/W836021966","https://openalex.org/W2184005427","https://openalex.org/W3185784018","https://openalex.org/W2148316232","https://openalex.org/W3212383242","https://openalex.org/W2118381768","https://openalex.org/W2079626172","https://openalex.org/W2981998189"],"abstract_inverted_index":{"Stability":[0],"is":[1,63],"an":[2],"essential":[3],"constraint":[4],"in":[5,27],"the":[6,60,65,69,84,95,100,109,112],"design":[7],"of":[8,97,102,108],"linear":[9],"dynamical":[10,17],"systems.":[11],"Similar":[12],"stability":[13,101],"restrictions":[14],"on":[15],"nonlinear":[16,45],"systems,":[18],"such":[19],"as":[20],"echo":[21],"state":[22],"network,":[23],"have":[24],"been":[25],"enforced":[26],"order":[28],"to":[29,72],"use":[30],"them":[31],"for":[32,44],"reliable":[33],"computation.":[34,92],"In":[35,56],"this":[36,57],"paper":[37],"we":[38],"introduce":[39],"a":[40,79],"novel":[41],"computational":[42],"mode":[43],"systems":[46],"with":[47,78,99],"sigmoidal":[48],"nonlinearity,":[49],"which":[50],"does":[51],"not":[52],"require":[53],"global":[54],"stability.":[55],"mode,":[58],"although":[59],"autonomous":[61],"system":[62,70,87,110],"unstable,":[64],"input":[66],"signal":[67],"forces":[68],"dynamics":[71,104],"become":[73],"\"transiently":[74],"stable\".":[75],"We":[76,93],"demonstrate":[77],"function":[80],"approximation":[81],"experiment":[82],"that":[83],"transiently":[85],"stable":[86],"can":[88],"still":[89],"do":[90],"useful":[91],"explain":[94],"principles":[96],"computation":[98],"local":[103],"obtained":[105],"from":[106],"linearization":[107],"at":[111],"operating":[113],"point.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}