{"id":"https://openalex.org/W2933646251","doi":"https://doi.org/10.1142/s0218127419500408","title":"Spiral Tip Identification via Deterministic Learning","display_name":"Spiral Tip Identification via Deterministic Learning","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2933646251","doi":"https://doi.org/10.1142/s0218127419500408","mag":"2933646251"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419500408","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500408","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/A5014328084","display_name":"Xunde Dong","orcid":"https://orcid.org/0000-0001-8688-2662"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xunde Dong","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, P. R. China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100636928","display_name":"Chen Song","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Song","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, P. R. China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100390479","display_name":"Cong Wang","orcid":"https://orcid.org/0000-0002-4106-6108"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cong Wang","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, P. R. China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014328084"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":0.1857,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53124355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"03","first_page":"1950040","last_page":"1950040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9968000054359436,"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":0.9968000054359436,"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/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9688000082969666,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9596999883651733,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/spiral","display_name":"Spiral (railway)","score":0.8641805648803711},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6956613659858704},{"id":"https://openalex.org/keywords/spiral-wave","display_name":"Spiral wave","score":0.6845711469650269},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6432268619537354},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5359445810317993},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5071573257446289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4485637843608856},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4245268702507019},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.4186231195926666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3988739848136902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3775530159473419},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.35599786043167114},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32391685247421265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32207584381103516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29186490178108215},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22815585136413574}],"concepts":[{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.8641805648803711},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6956613659858704},{"id":"https://openalex.org/C2777485032","wikidata":"https://www.wikidata.org/wiki/Q22908993","display_name":"Spiral wave","level":3,"score":0.6845711469650269},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6432268619537354},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5359445810317993},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5071573257446289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4485637843608856},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4245268702507019},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4186231195926666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3988739848136902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3775530159473419},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.35599786043167114},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32391685247421265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32207584381103516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29186490178108215},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22815585136413574},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127419500408","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500408","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":[],"awards":[{"id":"https://openalex.org/G1088879481","display_name":null,"funder_award_id":"61527811","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4432030722","display_name":null,"funder_award_id":"2017A030310493","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G5688137604","display_name":null,"funder_award_id":"2018A030310367","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W587876025","https://openalex.org/W1965550877","https://openalex.org/W1978221306","https://openalex.org/W1981309057","https://openalex.org/W1984155566","https://openalex.org/W1985723814","https://openalex.org/W1993951231","https://openalex.org/W1994666309","https://openalex.org/W1996101704","https://openalex.org/W1997589713","https://openalex.org/W2007182848","https://openalex.org/W2009375605","https://openalex.org/W2016967233","https://openalex.org/W2021280511","https://openalex.org/W2023402438","https://openalex.org/W2033313386","https://openalex.org/W2034624195","https://openalex.org/W2036992621","https://openalex.org/W2040679184","https://openalex.org/W2044569996","https://openalex.org/W2046797141","https://openalex.org/W2049255562","https://openalex.org/W2052274205","https://openalex.org/W2052332281","https://openalex.org/W2057423886","https://openalex.org/W2058716064","https://openalex.org/W2068335182","https://openalex.org/W2068665487","https://openalex.org/W2074385899","https://openalex.org/W2086126894","https://openalex.org/W2091279896","https://openalex.org/W2097439637","https://openalex.org/W2101103067","https://openalex.org/W2122992003","https://openalex.org/W2127477513","https://openalex.org/W2135107936","https://openalex.org/W2137146039","https://openalex.org/W2160588587","https://openalex.org/W2165832576","https://openalex.org/W2583078358","https://openalex.org/W2610387750","https://openalex.org/W2744297299","https://openalex.org/W2757454228","https://openalex.org/W2770322848","https://openalex.org/W2790119792","https://openalex.org/W3105710497","https://openalex.org/W4251811303"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1971138596","https://openalex.org/W2067849530","https://openalex.org/W3111446990","https://openalex.org/W2094411011","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414"],"abstract_inverted_index":{"A":[0,55],"spiral":[1,27,36,44,92,98,117,143],"tip":[2,18,28,45,93],"can":[3,145],"be":[4,146],"considered":[5],"as":[6],"a":[7,11,48,75],"wave":[8,12,99],"source,":[9],"i.e.":[10],"is":[13,29,64,71,121,131],"sent":[14],"out":[15],"after":[16],"the":[17,23,26,33,43,68,88,97,102,113,126,134,137,151,160,165],"rotates":[19],"one":[20],"circle.":[21],"Therefore,":[22],"dynamics":[24,46,120,135],"of":[25,35,77,91,116,142,164],"vital":[30],"to":[31,66,158],"understand":[32],"behavior":[34],"waves.":[37],"In":[38],"this":[39],"paper,":[40],"we":[41],"study":[42],"from":[47,96],"new":[49],"perspective":[50],"by":[51,59,82,101,106,124,149],"using":[52,83,107,125,150],"deterministic":[53,127],"learning.":[54],"Barkley":[56,104],"model":[57,105],"described":[58],"partial":[60],"differential":[61,79],"equations":[62,80],"(PDEs)":[63],"employed":[65],"illustrate":[67],"method.":[69,86,110,167],"It":[70,130],"first":[72],"transformed":[73,103],"into":[74],"set":[76],"ordinary":[78],"(ODEs)":[81],"finite":[84],"difference":[85],"Then,":[87],"position":[89],"states":[90],"are":[94,156],"extracted":[95],"generated":[100],"an":[108],"isocontour":[109],"Finally,":[111],"with":[112],"recurrent":[114,140],"trajectory":[115,141],"tip,":[118],"its":[119],"accurately":[122,147],"identified":[123,148],"learning":[128],"theory.":[129],"shown":[132],"that":[133],"underlying":[136],"periodic":[138],"or":[139],"tips":[144],"proposed":[152,166],"approach.":[153],"Numerical":[154],"experiments":[155],"included":[157],"demonstrate":[159],"effectiveness":[161],"and":[162],"feasibility":[163]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
