{"id":"https://openalex.org/W4409168569","doi":"https://doi.org/10.1007/s00332-025-10153-8","title":"Melnikov-Type Method and Homoclinic Bifurcation in a Class of Hybrid Piecewise Smooth Systems Under Noise and Impulsive Excitation","display_name":"Melnikov-Type Method and Homoclinic Bifurcation in a Class of Hybrid Piecewise Smooth Systems Under Noise and Impulsive Excitation","publication_year":2025,"publication_date":"2025-04-02","ids":{"openalex":"https://openalex.org/W4409168569","doi":"https://doi.org/10.1007/s00332-025-10153-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-025-10153-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-025-10153-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5100674062","display_name":"Yuxi Li","orcid":"https://orcid.org/0009-0006-0812-5133"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxi Li","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075850521","display_name":"Zhouchao Wei","orcid":"https://orcid.org/0000-0001-6981-748X"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]},{"id":"https://openalex.org/I3125743391","display_name":"China University of Geosciences (Beijing)","ror":"https://ror.org/04q6c7p66","country_code":"CN","type":"education","lineage":["https://openalex.org/I3125743391"]},{"id":"https://openalex.org/I4210099468","display_name":"Shenzhen Research Institute of China University of Geosciences","ror":"https://ror.org/00hv1r627","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099468"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhouchao Wei","raw_affiliation_strings":["Institute for Advanced Marine Research, China University of Geosciences, Guangzhou, 511462, China","School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China","Shenzhen Research Institute, China University of Geosciences, Shenzhen, 518000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Marine Research, China University of Geosciences, Guangzhou, 511462, China","institution_ids":["https://openalex.org/I3125743391"]},{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China","institution_ids":["https://openalex.org/I3124059619"]},{"raw_affiliation_string":"Shenzhen Research Institute, China University of Geosciences, Shenzhen, 518000, China","institution_ids":["https://openalex.org/I4210099468"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029470947","display_name":"Irene M. Moroz","orcid":"https://orcid.org/0000-0003-1503-939X"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["GB","SK"],"is_corresponding":false,"raw_author_name":"Irene Moroz","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, OX2 6GG, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, OX2 6GG, England","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210120676"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5075850521"],"corresponding_institution_ids":["https://openalex.org/I3124059619","https://openalex.org/I3125743391","https://openalex.org/I4210099468"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":7.7437,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.97738524,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"35","issue":"3","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":0.9976999759674072,"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":0.9976999759674072,"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":0.9926999807357788,"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"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.8767414093017578},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.6860028505325317},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6358610391616821},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6343513131141663},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6325134038925171},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6222842931747437},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6079555153846741},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5900792479515076},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4855172634124756},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46132272481918335},{"id":"https://openalex.org/keywords/bogdanov\u2013takens-bifurcation","display_name":"Bogdanov\u2013Takens bifurcation","score":0.4116787314414978},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.35285985469818115},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34442663192749023},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3330228328704834},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2537901997566223},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2104625403881073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20357930660247803},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12435102462768555},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07230216264724731}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.8767414093017578},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.6860028505325317},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6358610391616821},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6343513131141663},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6325134038925171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6222842931747437},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6079555153846741},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5900792479515076},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4855172634124756},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46132272481918335},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.4116787314414978},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.35285985469818115},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34442663192749023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3330228328704834},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2537901997566223},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2104625403881073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20357930660247803},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12435102462768555},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07230216264724731},{"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-025-10153-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-025-10153-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:b69f9fdc-af8e-4caa-8aeb-21e3e2fa4a58","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"http://purl.org/coar/resource_type/c_dcae04bc"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.5400000214576721,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G8690499808","display_name":null,"funder_award_id":"12172340","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320316880","display_name":"Natural Science Foundation of Shenzhen City","ror":null},{"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":47,"referenced_works":["https://openalex.org/W1593811304","https://openalex.org/W1949487648","https://openalex.org/W1995320774","https://openalex.org/W2001976362","https://openalex.org/W2012078309","https://openalex.org/W2026310361","https://openalex.org/W2028315085","https://openalex.org/W2029777464","https://openalex.org/W2035478548","https://openalex.org/W2041192585","https://openalex.org/W2041419228","https://openalex.org/W2041440472","https://openalex.org/W2043378533","https://openalex.org/W2052869340","https://openalex.org/W2085147424","https://openalex.org/W2086967012","https://openalex.org/W2089876099","https://openalex.org/W2094631910","https://openalex.org/W2104241324","https://openalex.org/W2151077430","https://openalex.org/W2164297166","https://openalex.org/W2294518167","https://openalex.org/W2316649394","https://openalex.org/W2342787669","https://openalex.org/W2437001323","https://openalex.org/W2612757019","https://openalex.org/W2763328046","https://openalex.org/W2804369046","https://openalex.org/W2913756729","https://openalex.org/W2968465788","https://openalex.org/W3025780554","https://openalex.org/W3082147466","https://openalex.org/W3099981103","https://openalex.org/W3164731291","https://openalex.org/W3166039170","https://openalex.org/W4214755169","https://openalex.org/W4221022313","https://openalex.org/W4231359949","https://openalex.org/W4281995269","https://openalex.org/W4294967943","https://openalex.org/W4380785082","https://openalex.org/W4385388964","https://openalex.org/W4393112044","https://openalex.org/W4394621140","https://openalex.org/W4396575825","https://openalex.org/W4396846474","https://openalex.org/W4401813370"],"related_works":["https://openalex.org/W2025138898","https://openalex.org/W2890492950","https://openalex.org/W2356323067","https://openalex.org/W944345475","https://openalex.org/W2110197045","https://openalex.org/W2362555640","https://openalex.org/W1983099865","https://openalex.org/W1823752871","https://openalex.org/W2792906852","https://openalex.org/W2464406682"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":5}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
