{"id":"https://openalex.org/W4410985491","doi":"https://doi.org/10.1109/tcsi.2025.3573095","title":"Hamilton Energy Characteristics of Chaotic Systems and Energy Flow in Magnetically Coupled Circuits","display_name":"Hamilton Energy Characteristics of Chaotic Systems and Energy Flow in Magnetically Coupled Circuits","publication_year":2025,"publication_date":"2025-06-03","ids":{"openalex":"https://openalex.org/W4410985491","doi":"https://doi.org/10.1109/tcsi.2025.3573095"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2025.3573095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3573095","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/A5100338404","display_name":"Jingjing Li","orcid":"https://orcid.org/0000-0003-2099-5079"},"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":"Jingjing Li","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2099-5079","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100335215","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0001-9172-698X"},"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":"Bo Zhang","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-9172-698X","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09086432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"12","first_page":"8004","last_page":"8017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.8712000250816345,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.8712000250816345,"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"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.8330000042915344,"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"}},{"id":"https://openalex.org/T12424","display_name":"Earthquake Detection and Analysis","score":0.7305999994277954,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.6683980822563171},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5727698802947998},{"id":"https://openalex.org/keywords/energy-flow","display_name":"Energy flow","score":0.5715176463127136},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5436649918556213},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4341588020324707},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4017680287361145},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3842090666294098},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34551841020584106},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.3371645212173462},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.28668010234832764},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.25892192125320435}],"concepts":[{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6683980822563171},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5727698802947998},{"id":"https://openalex.org/C206815995","wikidata":"https://www.wikidata.org/wiki/Q1341307","display_name":"Energy flow","level":3,"score":0.5715176463127136},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5436649918556213},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4341588020324707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4017680287361145},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3842090666294098},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34551841020584106},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.3371645212173462},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.28668010234832764},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25892192125320435},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2025.3573095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3573095","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8799999952316284}],"awards":[{"id":"https://openalex.org/G6387770707","display_name":null,"funder_award_id":"52130705","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1550610314","https://openalex.org/W1977131495","https://openalex.org/W1980982011","https://openalex.org/W1987786642","https://openalex.org/W1997508945","https://openalex.org/W2007109191","https://openalex.org/W2016823018","https://openalex.org/W2039205364","https://openalex.org/W2042545940","https://openalex.org/W2079676999","https://openalex.org/W2089103430","https://openalex.org/W2093186947","https://openalex.org/W2093856783","https://openalex.org/W2105187213","https://openalex.org/W2105406131","https://openalex.org/W2108893855","https://openalex.org/W2137196521","https://openalex.org/W2150614976","https://openalex.org/W2162651880","https://openalex.org/W2171886546","https://openalex.org/W2217079305","https://openalex.org/W2599464330","https://openalex.org/W2602270434","https://openalex.org/W2800945126","https://openalex.org/W2982135683","https://openalex.org/W3001601711","https://openalex.org/W4200074090","https://openalex.org/W4205478780","https://openalex.org/W4223488819","https://openalex.org/W4247151931","https://openalex.org/W4255722535","https://openalex.org/W4387873853","https://openalex.org/W4388507635","https://openalex.org/W4401412332","https://openalex.org/W4409412184"],"related_works":["https://openalex.org/W2161583424","https://openalex.org/W2331633775","https://openalex.org/W2217565710","https://openalex.org/W2026802133","https://openalex.org/W2614032110","https://openalex.org/W4285482523","https://openalex.org/W3039414771","https://openalex.org/W3015736084","https://openalex.org/W2505425011","https://openalex.org/W2461412242"],"abstract_inverted_index":{"This":[0],"paper":[1],"systematically":[2],"investigates":[3],"the":[4,15,33,72,98,108],"Hamiltonian":[5,27,30],"characteristics":[6],"of":[7,32,110],"chaotic":[8],"attractors":[9],"in":[10,20,81,90,128],"nonlinear":[11,23,84,131],"circuits":[12],"and":[13,44,57,67,78,112],"elucidates":[14],"intrinsic":[16],"energy":[17,59,76,91,99,125],"transfer":[18],"mechanisms":[19,74],"magnetically":[21,82,129],"coupled":[22,83,130],"systems":[24],"using":[25],"generalized":[26],"theory.":[28],"First,":[29],"properties":[31],"Modified":[34],"Van":[35],"der":[36],"Pol-Duffing":[37],"(MVDPD)":[38],"system,":[39,43],"improved":[40,116],"memristive":[41],"Chua\u2019s":[42,46],"Colpitts-derived":[45],"system":[47,55],"are":[48],"analyzed,":[49],"establishing":[50],"a":[51],"unified":[52],"relationship":[53],"between":[54],"dynamics":[56,127],"Hamilton":[58],"characteristics.":[60],"Next,":[61],"through":[62],"numerical":[63],"analysis,":[64],"circuit":[65],"simulation,":[66],"experimental":[68],"validation,":[69],"we":[70],"investigate":[71],"internal":[73,117],"underlying":[75],"exchange":[77,92],"dynamic":[79],"evolution":[80],"circuits.":[85,132],"Results":[86],"demonstrate":[87],"significant":[88],"changes":[89],"behaviors":[93],"during":[94,107],"phase":[95],"synchronization.":[96],"Specifically,":[97],"cost":[100],"required":[101],"for":[102],"synchronization":[103],"initially":[104],"rises,":[105],"peaks":[106],"onset":[109],"synchronization,":[111],"then":[113],"declines":[114],"with":[115],"coherence.":[118],"These":[119],"findings":[120],"provide":[121],"valuable":[122],"insights":[123],"into":[124],"flow":[126]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}