{"id":"https://openalex.org/W4413461922","doi":"https://doi.org/10.1109/tcsi.2025.3597326","title":"Analog Circuit Implementation and Geometric Structure Analysis of Phase Portrait in Planar Polynomial Dynamic System","display_name":"Analog Circuit Implementation and Geometric Structure Analysis of Phase Portrait in Planar Polynomial Dynamic System","publication_year":2025,"publication_date":"2025-08-14","ids":{"openalex":"https://openalex.org/W4413461922","doi":"https://doi.org/10.1109/tcsi.2025.3597326"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2025.3597326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3597326","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","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/A5075406368","display_name":"Fuhong Min","orcid":"https://orcid.org/0000-0001-7826-3124"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fuhong Min","raw_affiliation_strings":["School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-7826-3124","affiliations":[{"raw_affiliation_string":"School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5119401239","display_name":"Hailong Huo","orcid":null},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hailong Huo","raw_affiliation_strings":["School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China"],"raw_orcid":"https://orcid.org/0009-0009-2527-9670","affiliations":[{"raw_affiliation_string":"School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23247318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"3","first_page":"1641","last_page":"1654"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.8019999861717224,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.8019999861717224,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.7332276701927185},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6278863549232483},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5162753462791443},{"id":"https://openalex.org/keywords/network-analysis","display_name":"Network analysis","score":0.5034109950065613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4455392062664032},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.36931729316711426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33158713579177856},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3213135898113251},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.29563313722610474},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22960826754570007},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1837581992149353},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17978057265281677},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.14994165301322937}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.7332276701927185},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6278863549232483},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5162753462791443},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.5034109950065613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4455392062664032},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.36931729316711426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33158713579177856},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3213135898113251},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.29563313722610474},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22960826754570007},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1837581992149353},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17978057265281677},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.14994165301322937},{"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/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"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:10.1109/tcsi.2025.3597326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3597326","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1137925821","display_name":null,"funder_award_id":"BK20241880","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G4803534901","display_name":null,"funder_award_id":"62471237","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"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2339458745","https://openalex.org/W2009968757","https://openalex.org/W3014342693","https://openalex.org/W2896733099","https://openalex.org/W1991109537","https://openalex.org/W2561007490","https://openalex.org/W2381885241","https://openalex.org/W2378325730","https://openalex.org/W2895033324","https://openalex.org/W2767404218"],"abstract_inverted_index":{"The":[0],"study":[1,135],"of":[2,25,31,63,103,141],"planar":[3,50],"polynomial":[4,51],"dynamical":[5,16,161],"systems":[6,52],"in":[7],"Hilbert\u2019s":[8],"16th":[9],"problem":[10],"offers":[11],"critical":[12],"insights":[13],"into":[14],"nonlinear":[15,144],"systems.":[17,162],"However,":[18],"current":[19],"research":[20],"rarely":[21],"conducts":[22],"quantitative":[23],"analysis":[24],"the":[26,29,61,78,87,91,110,124,138],"system":[27,79],"from":[28,60],"perspective":[30,62],"phase":[32],"portrait":[33],"geometric":[34,64,92,104,142],"structures,":[35,65],"nor":[36],"does":[37],"it":[38],"feature":[39],"physical":[40],"implementations.":[41],"To":[42],"address":[43],"this":[44,46,134],"gap,":[45],"paper":[47],"will":[48],"investigate":[49],"with":[53],"four,":[54],"six,":[55],"and":[56,74,120,123,149],"nine":[57],"equilibrium":[58,71],"points":[59],"revealing":[66],"intrinsic":[67],"characteristics":[68],"such":[69],"as":[70],"point":[72],"distributions":[73],"homoclinic/heteroclinic":[75],"orbits.":[76],"Then,":[77],"is":[80,106],"investigated":[81],"via":[82],"Hamiltonian":[83],"energy":[84],"to":[85,137],"explain":[86],"fundamental":[88],"causes":[89],"behind":[90],"structure":[93],"formation.":[94],"Most":[95],"importantly,":[96],"a":[97,128,154],"method":[98],"for":[99,109,130,158],"hardware":[100,125],"circuit":[101,147],"implementation":[102,126],"structures":[105],"successfully":[107],"developed":[108],"first":[111],"time.":[112],"Oscilloscope":[113],"observations":[114],"show":[115],"consistency":[116],"between":[117],"experimental":[118],"results":[119],"theoretical":[121],"predictions,":[122],"lays":[127],"foundation":[129],"engineering":[131,150],"applications.":[132],"Overall,":[133],"contributes":[136],"interdisciplinary":[139],"integration":[140],"topology,":[143],"dynamics,":[145],"analog":[146],"design,":[148],"applications,":[151],"which":[152],"provides":[153],"new":[155],"methodological":[156],"framework":[157],"exploring":[159],"complex":[160]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
