{"id":"https://openalex.org/W7168191351","doi":"https://doi.org/10.1016/j.cnsns.2026.110565","title":"Parameter identification of fractional-order dynamical systems with non-Gaussian L\u00e9vy colored noise based on CB-PINN","display_name":"Parameter identification of fractional-order dynamical systems with non-Gaussian L\u00e9vy colored noise based on CB-PINN","publication_year":2026,"publication_date":"2026-07-13","ids":{"openalex":"https://openalex.org/W7168191351","doi":"https://doi.org/10.1016/j.cnsns.2026.110565"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.110565","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110565","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","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/A5010593360","display_name":"Xiaona Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaona Wu","raw_affiliation_strings":["School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, China","institution_ids":["https://openalex.org/I3019309368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100734116","display_name":"Shaojuan Ma","orcid":"https://orcid.org/0000-0003-2810-586X"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]},{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shaojuan Ma","raw_affiliation_strings":["Ningxia Key Laboratory of Intelligent Information and Big Data Processing, Yinchuan, 750021, Ningxia, China","School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, China"],"raw_orcid":"https://orcid.org/0000-0003-2810-586X","affiliations":[{"raw_affiliation_string":"Ningxia Key Laboratory of Intelligent Information and Big Data Processing, Yinchuan, 750021, Ningxia, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, China","institution_ids":["https://openalex.org/I3019309368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140542630","display_name":"Wentao Hou","orcid":null},"institutions":[{"id":"https://openalex.org/I110262843","display_name":"Yuncheng University","ror":"https://ror.org/03qt1g669","country_code":"CN","type":"education","lineage":["https://openalex.org/I110262843"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wentao Hou","raw_affiliation_strings":["Department of Mathematics and Information Technology, Yuncheng University, Yuncheng, 044000, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Technology, Yuncheng University, Yuncheng, 044000, Shanxi, China","institution_ids":["https://openalex.org/I110262843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5140544593","display_name":"Xinyi Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinyi Xu","raw_affiliation_strings":["School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, China","institution_ids":["https://openalex.org/I3019309368"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100734116"],"corresponding_institution_ids":["https://openalex.org/I21642278","https://openalex.org/I3019309368"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.7365297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"163","issue":null,"first_page":"110565","last_page":"110565"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.5408999919891357,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.5408999919891357,"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/T12676","display_name":"Machine Learning and ELM","score":0.10830000042915344,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.07429999858140945,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/robustness","display_name":"Robustness (evolution)","score":0.6565999984741211},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.609000027179718},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5329999923706055},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4934000074863434},{"id":"https://openalex.org/keywords/colors-of-noise","display_name":"Colors of noise","score":0.49309998750686646},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.49239999055862427},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.4875999987125397},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.45339998602867126},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.38269999623298645}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7159000039100647},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6565999984741211},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.609000027179718},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5329999923706055},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4934000074863434},{"id":"https://openalex.org/C114996537","wikidata":"https://www.wikidata.org/wiki/Q4854529","display_name":"Colors of noise","level":3,"score":0.49309998750686646},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.49239999055862427},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.4875999987125397},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.45339998602867126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4129999876022339},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.38269999623298645},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.37380000948905945},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.3587000072002411},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33959999680519104},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.32989999651908875},{"id":"https://openalex.org/C193415008","wikidata":"https://www.wikidata.org/wiki/Q639681","display_name":"Network architecture","level":2,"score":0.31369999051094055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31360000371932983},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.31130000948905945},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.30979999899864197},{"id":"https://openalex.org/C52970973","wikidata":"https://www.wikidata.org/wiki/Q2497134","display_name":"Adaptive system","level":2,"score":0.2955999970436096},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.2937999963760376},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.2831000089645386},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.26109999418258667},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.25920000672340393}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.110565","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110565","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2626292462","display_name":null,"funder_award_id":"CYX25113","funder_id":"https://openalex.org/F4320335884","funder_display_name":"Graduate Innovation Project of North Minzu University"},{"id":"https://openalex.org/G4061363375","display_name":null,"funder_award_id":"No. 12362005","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/F4320327619","display_name":"North Minzu University","ror":null},{"id":"https://openalex.org/F4320335884","display_name":"Graduate Innovation Project of North Minzu University","ror":null},{"id":"https://openalex.org/F8179454137","display_name":"Education First","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1489341301","https://openalex.org/W1979220249","https://openalex.org/W2058509690","https://openalex.org/W2296037438","https://openalex.org/W2745144140","https://openalex.org/W2789742363","https://openalex.org/W2883965111","https://openalex.org/W2899283552","https://openalex.org/W2918766461","https://openalex.org/W2919115771","https://openalex.org/W3217086243","https://openalex.org/W4212996450","https://openalex.org/W4221127136","https://openalex.org/W4225995462","https://openalex.org/W4232542516","https://openalex.org/W4292440370","https://openalex.org/W4294579762","https://openalex.org/W4298392701","https://openalex.org/W4318465259","https://openalex.org/W4372198042","https://openalex.org/W4376127254","https://openalex.org/W4378697250","https://openalex.org/W4380091467","https://openalex.org/W4386736346","https://openalex.org/W4387232549","https://openalex.org/W4388978550","https://openalex.org/W4392108439","https://openalex.org/W4396919642","https://openalex.org/W4403915202","https://openalex.org/W4406682308","https://openalex.org/W4410412224","https://openalex.org/W4412952643","https://openalex.org/W4414272955","https://openalex.org/W7081958121","https://openalex.org/W7093018273","https://openalex.org/W7131782926"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-07-14T00:00:00"}
