{"id":"https://openalex.org/W1999776604","doi":"https://doi.org/10.1016/s0096-3003(03)00341-2","title":"The homotopy perturbation method for nonlinear oscillators with discontinuities","display_name":"The homotopy perturbation method for nonlinear oscillators with discontinuities","publication_year":2003,"publication_date":"2003-07-07","ids":{"openalex":"https://openalex.org/W1999776604","doi":"https://doi.org/10.1016/s0096-3003(03)00341-2","mag":"1999776604"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(03)00341-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00341-2","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"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":"Applied Mathematics and Computation","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/A5010513600","display_name":"Ji\u2010Huan He","orcid":"https://orcid.org/0000-0002-1636-0559"},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ji-Huan He","raw_affiliation_strings":["College of Science, Shanghai Donghua University, 1882 Yan\u2019an Xilu Road, P.O. Box 471, Shanghai 200051, People\u2019s Republic of China","College of Science, Shanghai Donghua University, 1882 Yan'an Xilu Road, P.O. Box 471, Shanghai 200051, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Shanghai Donghua University, 1882 Yan\u2019an Xilu Road, P.O. Box 471, Shanghai 200051, People\u2019s Republic of China","institution_ids":["https://openalex.org/I181326427"]},{"raw_affiliation_string":"College of Science, Shanghai Donghua University, 1882 Yan'an Xilu Road, P.O. Box 471, Shanghai 200051, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I181326427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010513600"],"corresponding_institution_ids":["https://openalex.org/I181326427"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":20.4471,"has_fulltext":false,"cited_by_count":853,"citation_normalized_percentile":{"value":0.99647177,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"151","issue":"1","first_page":"287","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9442999958992004,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homotopy-perturbation-method","display_name":"Homotopy perturbation method","score":0.7748054265975952},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.7485052943229675},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.7329453229904175},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6501681804656982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6449646353721619},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5138566493988037},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5073544383049011},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4242682456970215},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.40485531091690063},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21801835298538208},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20152521133422852},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.055469244718551636}],"concepts":[{"id":"https://openalex.org/C91328119","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy perturbation method","level":3,"score":0.7748054265975952},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.7485052943229675},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7329453229904175},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6501681804656982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6449646353721619},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5138566493988037},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5073544383049011},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4242682456970215},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.40485531091690063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21801835298538208},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20152521133422852},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.055469244718551636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(03)00341-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00341-2","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"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":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"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":19,"referenced_works":["https://openalex.org/W7148150","https://openalex.org/W164909592","https://openalex.org/W1646660925","https://openalex.org/W1677009208","https://openalex.org/W1958809597","https://openalex.org/W1968018054","https://openalex.org/W1984853762","https://openalex.org/W1988033854","https://openalex.org/W2013382856","https://openalex.org/W2041172471","https://openalex.org/W2066701046","https://openalex.org/W2087226000","https://openalex.org/W2105169587","https://openalex.org/W2127579732","https://openalex.org/W2165917005","https://openalex.org/W2326496423","https://openalex.org/W2331229272","https://openalex.org/W2617196462","https://openalex.org/W3140983871"],"related_works":["https://openalex.org/W2088506180","https://openalex.org/W2362256999","https://openalex.org/W2188605998","https://openalex.org/W2087729225","https://openalex.org/W1964997874","https://openalex.org/W1545358442","https://openalex.org/W4239956528","https://openalex.org/W2040041204","https://openalex.org/W1497843313","https://openalex.org/W2127579732"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":30},{"year":2019,"cited_by_count":28},{"year":2018,"cited_by_count":21},{"year":2017,"cited_by_count":22},{"year":2016,"cited_by_count":29},{"year":2015,"cited_by_count":39},{"year":2014,"cited_by_count":44},{"year":2013,"cited_by_count":54},{"year":2012,"cited_by_count":60}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}