{"id":"https://openalex.org/W4407742149","doi":"https://doi.org/10.1142/s0218127425300095","title":"A Novel Analog Electronic Circuit for Versatile Fractional Exponentiation","display_name":"A Novel Analog Electronic Circuit for Versatile Fractional Exponentiation","publication_year":2025,"publication_date":"2025-02-19","ids":{"openalex":"https://openalex.org/W4407742149","doi":"https://doi.org/10.1142/s0218127425300095"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127425300095","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425300095","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/A5094364033","display_name":"Xiaoliang Cen","orcid":"https://orcid.org/0009-0008-8076-0048"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoliang Cen","raw_affiliation_strings":["School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China"],"raw_orcid":"https://orcid.org/0009-0008-8076-0048","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031215480","display_name":"Chunbiao Li","orcid":"https://orcid.org/0000-0002-9932-0914"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunbiao Li","raw_affiliation_strings":["School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-9932-0914","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023846487","display_name":"Wangyu Liu","orcid":"https://orcid.org/0009-0007-0128-4067"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wangyu Liu","raw_affiliation_strings":["School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China"],"raw_orcid":"https://orcid.org/0009-0007-0128-4067","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101764316","display_name":"Yong Yang","orcid":"https://orcid.org/0009-0001-4470-3328"},"institutions":[{"id":"https://openalex.org/I4210119392","display_name":"Institute of Microelectronics","ror":"https://ror.org/02s6gs133","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210119392"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Yang","raw_affiliation_strings":["RISC-V Research Institute, Nanjing Qinheng Microelectronics Company, Ltd., Nanjing 210012, P. R. China"],"raw_orcid":"https://orcid.org/0009-0001-4470-3328","affiliations":[{"raw_affiliation_string":"RISC-V Research Institute, Nanjing Qinheng Microelectronics Company, Ltd., Nanjing 210012, P. R. China","institution_ids":["https://openalex.org/I4210119392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091055664","display_name":"Ludovico Minati","orcid":"https://orcid.org/0000-0002-2532-1674"},"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":"Ludovico Minati","raw_affiliation_strings":["School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 611731, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-2532-1674","affiliations":[{"raw_affiliation_string":"School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 611731, P. R. China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7779,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67183143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"35","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9936000108718872,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9936000108718872,"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"}},{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.977400004863739,"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/exponentiation","display_name":"Exponentiation","score":0.8241363763809204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4473584294319153},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.42979300022125244},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.419653058052063},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3915427327156067},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.36316969990730286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3611823320388794},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3470630347728729},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.2988499402999878},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16744282841682434},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10995140671730042},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.10464334487915039},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10423511266708374},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09173688292503357}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.8241363763809204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4473584294319153},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.42979300022125244},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.419653058052063},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3915427327156067},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.36316969990730286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3611823320388794},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3470630347728729},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.2988499402999878},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16744282841682434},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10995140671730042},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.10464334487915039},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10423511266708374},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09173688292503357},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127425300095","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425300095","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/G8218272805","display_name":null,"funder_award_id":"62371242","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W122965473","https://openalex.org/W1491203792","https://openalex.org/W1513405660","https://openalex.org/W2014509488","https://openalex.org/W2033184966","https://openalex.org/W2056626217","https://openalex.org/W2102163085","https://openalex.org/W2122803078","https://openalex.org/W2131825659","https://openalex.org/W2155668098","https://openalex.org/W2171886546","https://openalex.org/W2275695835","https://openalex.org/W2582316964","https://openalex.org/W2806722255","https://openalex.org/W2907246392","https://openalex.org/W2914287309","https://openalex.org/W3094910090","https://openalex.org/W3211619605","https://openalex.org/W4211085182","https://openalex.org/W4247794243","https://openalex.org/W4300059230","https://openalex.org/W4313590939","https://openalex.org/W4320713113","https://openalex.org/W4323338426","https://openalex.org/W4328142565","https://openalex.org/W4385062989","https://openalex.org/W4386999720","https://openalex.org/W4388883813","https://openalex.org/W4391959014","https://openalex.org/W4392631389","https://openalex.org/W4400884879","https://openalex.org/W4403482510","https://openalex.org/W4404132806"],"related_works":["https://openalex.org/W4235485585","https://openalex.org/W2214270211","https://openalex.org/W670148","https://openalex.org/W1507420113","https://openalex.org/W4242613270","https://openalex.org/W28274153","https://openalex.org/W2736837562","https://openalex.org/W2020808628","https://openalex.org/W2767903583","https://openalex.org/W2107014706"],"abstract_inverted_index":{"The":[0],"presence":[1],"of":[2,20,46,67,107,119,126,135],"nonlinear":[3,21,36],"feedback":[4],"is":[5],"an":[6],"effective":[7],"method":[8],"for":[9,27],"generating":[10],"chaos":[11],"in":[12,64],"dynamical":[13],"systems.":[14,137],"Although":[15],"physics":[16],"provides":[17],"a":[18,39,50,59,68,133],"plethora":[19],"relationships":[22],"that":[23],"can":[24,99],"be":[25],"exploited":[26],"this":[28,55,62,97,127],"purpose,":[29],"engineering":[30],"chaotic":[31],"electronic":[32],"circuits":[33],"with":[34],"prescribed":[35],"terms":[37],"remain":[38],"formidable":[40],"challenge.":[41],"In":[42,54,91],"particular,":[43],"the":[44,65,77,105,124],"implementation":[45],"fractional":[47,108],"exponentiation":[48],"represents":[49],"particularly":[51],"challenging":[52],"task.":[53],"paper,":[56],"we":[57,73,122],"present":[58],"solution":[60],"to":[61,93],"problem":[63],"form":[66],"new":[69],"circuit":[70,98,129],"topology,":[71],"which":[72],"have":[74],"designated":[75],"as":[76],"\u201c444":[78],"circuit\u201d,":[79],"comprising":[80],"only":[81],"four":[82,84,88],"transistors,":[83],"operational":[85],"amplifiers,":[86],"and":[87,95,115],"resistor":[89],"pairs.":[90],"addition":[92],"multiplication":[94],"division,":[96],"perform":[100],"complex":[101],"algebraic":[102],"operations,":[103],"including":[104],"calculation":[106],"powers.":[109],"After":[110],"introducing":[111],"its":[112,120],"operating":[113],"principles":[114],"some":[116],"conceptual":[117],"aspects":[118],"implementation,":[121],"demonstrate":[123],"performance":[125],"unifying":[128],"structure":[130],"by":[131],"realizing":[132],"family":[134],"Lorenz-like":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
