{"id":"https://openalex.org/W7128046974","doi":"https://doi.org/10.1142/s0218127426500744","title":"Exploring Chameleon Chaos: A Linearly Modulated Generalized Duffing System with Hidden and Self-Excited Attractors","display_name":"Exploring Chameleon Chaos: A Linearly Modulated Generalized Duffing System with Hidden and Self-Excited Attractors","publication_year":2026,"publication_date":"2026-02-05","ids":{"openalex":"https://openalex.org/W7128046974","doi":"https://doi.org/10.1142/s0218127426500744"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127426500744","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127426500744","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/A5114218001","display_name":"Xueqing Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueqing Liu","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China"],"raw_orcid":"https://orcid.org/0009-0006-1041-3986","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125120823","display_name":"Bo Sang","orcid":null},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Sang","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China"],"raw_orcid":"https://orcid.org/0000-0003-3978-2225","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027936680","display_name":"C. C. Wang","orcid":"https://orcid.org/0009-0006-3224-9806"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chun Wang","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China"],"raw_orcid":"https://orcid.org/0009-0006-3224-9806","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125240797","display_name":"Cuicui Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cuicui Wang","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China"],"raw_orcid":"https://orcid.org/0009-0004-6920-5917","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102672208","display_name":"Yan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Liu","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China"],"raw_orcid":"https://orcid.org/0009-0004-2691-6778","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003106159","display_name":"Yang Cui-hong","orcid":null},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cuihong Yang","raw_affiliation_strings":["Key Laboratory of Nonlinear Analysis & Applications (Ministry of Education), Central China Normal University, Wuhan 430079, P.\u00a0R. China","School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, P.\u00a0R. China"],"raw_orcid":"https://orcid.org/0009-0000-9363-3998","affiliations":[{"raw_affiliation_string":"Key Laboratory of Nonlinear Analysis & Applications (Ministry of Education), Central China Normal University, Wuhan 430079, P.\u00a0R. China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, P.\u00a0R. China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085446383","display_name":"Irfan Ahmad","orcid":"https://orcid.org/0000-0002-7156-9056"},"institutions":[{"id":"https://openalex.org/I52179390","display_name":"University of Waikato","ror":"https://ror.org/013fsnh78","country_code":"NZ","type":"education","lineage":["https://openalex.org/I52179390"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Irfan Ahmad","raw_affiliation_strings":["School of Computing & Mathematical Sciences, University of Waikato, Hamilton 3240, New Zealand"],"raw_orcid":"https://orcid.org/0000-0002-7156-9056","affiliations":[{"raw_affiliation_string":"School of Computing & Mathematical Sciences, University of Waikato, Hamilton 3240, New Zealand","institution_ids":["https://openalex.org/I52179390"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055938660","display_name":"\u0422\u0438\u043c\u0443\u0440 \u041a\u0430\u0440\u0438\u043c\u043e\u0432","orcid":"https://orcid.org/0000-0002-9860-8211"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Timur Karimov","raw_affiliation_strings":["Computer-Aided Design Department, St. Petersburg Electrotechnical University \u201cLETI\u201d, 5 Professora Popova St., Saint Petersburg 197022, Russia"],"raw_orcid":"https://orcid.org/0000-0002-9860-8211","affiliations":[{"raw_affiliation_string":"Computer-Aided Design Department, St. Petersburg Electrotechnical University \u201cLETI\u201d, 5 Professora Popova St., Saint Petersburg 197022, Russia","institution_ids":["https://openalex.org/I41518628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083653740","display_name":"Vyacheslav Rybin","orcid":"https://orcid.org/0000-0002-6515-0224"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vyacheslav Rybin","raw_affiliation_strings":["Computer-Aided Design Department, St. Petersburg Electrotechnical University \u201cLETI\u201d, 5 Professora Popova St., Saint Petersburg 197022, Russia"],"raw_orcid":"https://orcid.org/0000-0002-6515-0224","affiliations":[{"raw_affiliation_string":"Computer-Aided Design Department, St. Petersburg Electrotechnical University \u201cLETI\u201d, 5 Professora Popova St., Saint Petersburg 197022, Russia","institution_ids":["https://openalex.org/I41518628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075024454","display_name":"\u0414\u0435\u043d\u0438\u0441 \u0411\u0443\u0442\u0443\u0441\u043e\u0432","orcid":"https://orcid.org/0000-0002-8941-4220"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Denis Butusov","raw_affiliation_strings":["Computer-Aided Design Department, St. Petersburg Electrotechnical University \u201cLETI\u201d, 5 Professora Popova St., Saint Petersburg 197022, Russia"],"raw_orcid":"https://orcid.org/0000-0002-8941-4220","affiliations":[{"raw_affiliation_string":"Computer-Aided Design Department, St. Petersburg Electrotechnical University \u201cLETI\u201d, 5 Professora Popova St., Saint Petersburg 197022, Russia","institution_ids":["https://openalex.org/I41518628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5125243538","display_name":"Ning Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153482","display_name":"Changzhou University","ror":"https://ror.org/04ymgwq66","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153482"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Wang","raw_affiliation_strings":["School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, P.\u00a0R. China"],"raw_orcid":"https://orcid.org/0009-0006-2951-0647","affiliations":[{"raw_affiliation_string":"School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, P.\u00a0R. China","institution_ids":["https://openalex.org/I4210153482"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":11,"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":0.19185448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9763000011444092,"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/T10244","display_name":"Chaos control and synchronization","score":0.9763000011444092,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.010700000450015068,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.0031999999191612005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.8658000230789185},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8197000026702881},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.6636000275611877},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6157000064849854},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5498999953269958},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5483999848365784},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.5311999917030334},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.503600001335144},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4399999976158142},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.4361000061035156}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.8658000230789185},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8197000026702881},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.6636000275611877},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6157000064849854},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5498999953269958},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5483999848365784},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.5311999917030334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5309000015258789},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.503600001335144},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.45320001244544983},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4399999976158142},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.4361000061035156},{"id":"https://openalex.org/C192872217","wikidata":"https://www.wikidata.org/wiki/Q720574","display_name":"R\u00f6ssler attractor","level":3,"score":0.4120999872684479},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.40939998626708984},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.4002000093460083},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.37709999084472656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3644999861717224},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.3521000146865845},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.3506999909877777},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.3393000066280365},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3382999897003174},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.33480000495910645},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3337000012397766},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.32989999651908875},{"id":"https://openalex.org/C78302928","wikidata":"https://www.wikidata.org/wiki/Q5185947","display_name":"Crisis","level":4,"score":0.31290000677108765},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.3111000061035156},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3066999912261963},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.29670000076293945},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.28209999203681946},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.27090001106262207},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.26260000467300415},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.25870001316070557}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127426500744","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127426500744","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":[{"display_name":"Sustainable cities and communities","score":0.44008776545524597,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3767477364","display_name":null,"funder_award_id":"ZR2018MA025","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8873223519","display_name":null,"funder_award_id":"22-19-00573P","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W1120142027","https://openalex.org/W1421858863","https://openalex.org/W1427684937","https://openalex.org/W1972634840","https://openalex.org/W1998630995","https://openalex.org/W2003304048","https://openalex.org/W2037114155","https://openalex.org/W2049576731","https://openalex.org/W2064498533","https://openalex.org/W2115452265","https://openalex.org/W2119566600","https://openalex.org/W2141662965","https://openalex.org/W2164315701","https://openalex.org/W2408502140","https://openalex.org/W2468907312","https://openalex.org/W2480695657","https://openalex.org/W2496576690","https://openalex.org/W2528437065","https://openalex.org/W2530908781","https://openalex.org/W2585728124","https://openalex.org/W2618243107","https://openalex.org/W2625699899","https://openalex.org/W2664973513","https://openalex.org/W2731907499","https://openalex.org/W2736287252","https://openalex.org/W2763458410","https://openalex.org/W2789742277","https://openalex.org/W2885558237","https://openalex.org/W2891171036","https://openalex.org/W3014351659","https://openalex.org/W3025518726","https://openalex.org/W3093605031","https://openalex.org/W3159244660","https://openalex.org/W3199254975","https://openalex.org/W3212601517","https://openalex.org/W4206156084","https://openalex.org/W4224142667","https://openalex.org/W4307122601","https://openalex.org/W4362731321","https://openalex.org/W4378227482","https://openalex.org/W4383755744","https://openalex.org/W4386766449","https://openalex.org/W4389118918","https://openalex.org/W4389476801","https://openalex.org/W4390283056","https://openalex.org/W4398248897","https://openalex.org/W4399445390","https://openalex.org/W4400018189","https://openalex.org/W4401966429","https://openalex.org/W4402079063","https://openalex.org/W4403853247","https://openalex.org/W4403990639","https://openalex.org/W4404101537","https://openalex.org/W4407209472","https://openalex.org/W4409210535","https://openalex.org/W4410192871","https://openalex.org/W4410498575","https://openalex.org/W4410988911","https://openalex.org/W4411380760","https://openalex.org/W4413958309"],"related_works":[],"abstract_inverted_index":{"This":[0,58],"paper":[1],"presents":[2],"a":[3,10,46,79,140],"novel":[4],"chameleon":[5,185],"chaotic":[6,142],"system":[7,72,113,123],"derived":[8],"from":[9,90],"generalized":[11],"Duffing":[12],"oscillator,":[13],"where":[14,41],"the":[15,21,31,42,55,71,91,102,110,137,167,184],"linear":[16],"damping":[17],"parameter":[18,153],"c":[19],"controls":[20],"transition":[22,56],"between":[23],"hidden":[24,75,141],"and":[25,38,126,133,144,162],"self-excited":[26,86],"attractors.":[27],"The":[28],"investigation":[29],"covers":[30],"system\u2019s":[32],"basic":[33],"properties,":[34],"including":[35,101],"symmetries,":[36],"dissipativity,":[37],"equilibrium":[39],"stability,":[40],"stability":[43],"analysis":[44,120],"identifies":[45],"supercritical":[47],"Hopf":[48],"bifurcation":[49,59,125],"at":[50],"[Formula:":[51,68,83,105],"see":[52,69,84,106],"text]":[53],"as":[54],"mechanism.":[57],"helps":[60],"to":[61,98,158],"find":[62],"two":[63],"potential":[64],"dynamical":[65,164],"regimes:":[66],"for":[67,82],"text],":[70,85,107],"may":[73],"exhibit":[74],"attractors":[76,87],"coexisting":[77],"with":[78,114],"stable":[80],"equilibrium;":[81],"can":[88],"arise":[89],"unstable":[92],"equilibrium.":[93],"By":[94],"setting":[95],"several":[96],"parameters":[97],"fixed":[99],"values,":[100],"critical":[103],"condition":[104],"we":[108],"define":[109],"model\u2019s":[111],"reduced":[112],"an":[115,172],"elegant":[116],"form.":[117],"A":[118],"detailed":[119],"of":[121,139,183],"this":[122],"using":[124],"continuation":[127],"diagrams,":[128],"Lyapunov":[129],"exponents,":[130],"return":[131],"map,":[132],"power":[134],"spectrum":[135],"shows":[136],"existence":[138],"attractor":[143],"reveals":[145],"rich":[146],"multistability":[147],"behavior.":[148],"Bifurcation":[149],"studies":[150],"across":[151],"multiple":[152],"planes":[154],"demonstrate":[155],"period-doubling":[156],"cascades":[157],"chaos,":[159],"periodic":[160],"windows,":[161],"complex":[163],"landscapes.":[165],"Finally,":[166],"phase":[168],"portraits":[169],"produced":[170],"by":[171],"FPGA-based":[173],"realization":[174],"closely":[175],"match":[176],"numerical":[177],"simulations,":[178],"thus":[179],"enabling":[180],"our":[181],"manageability":[182],"dynamics.":[186]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-07T00:00:00"}
