{"id":"https://openalex.org/W2104450290","doi":"https://doi.org/10.1142/s0218127415500248","title":"Effect of Nonlinear Dissipation on the Basin Boundaries of a Driven Two-Well Modified Rayleigh\u2013Duffing Oscillator","display_name":"Effect of Nonlinear Dissipation on the Basin Boundaries of a Driven Two-Well Modified Rayleigh\u2013Duffing Oscillator","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W2104450290","doi":"https://doi.org/10.1142/s0218127415500248","mag":"2104450290"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415500248","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500248","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1310.0958","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"C. H. Miwadinou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119417","display_name":"Universit\u00e9 d'Abomey-Calavi","ror":"https://ror.org/03gzr6j88","country_code":"BJ","type":"education","lineage":["https://openalex.org/I4210119417"]},{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"C. H. Miwadinou","raw_affiliation_strings":["Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin","institution_ids":["https://openalex.org/I4210119417","https://openalex.org/I4210123509"]}]},{"author_position":"middle","author":{"id":null,"display_name":"A. V. Monwanou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119417","display_name":"Universit\u00e9 d'Abomey-Calavi","ror":"https://ror.org/03gzr6j88","country_code":"BJ","type":"education","lineage":["https://openalex.org/I4210119417"]},{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"A. V. Monwanou","raw_affiliation_strings":["Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin","institution_ids":["https://openalex.org/I4210119417","https://openalex.org/I4210123509"]}]},{"author_position":"last","author":{"id":null,"display_name":"J. B. Chabi Orou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119417","display_name":"Universit\u00e9 d'Abomey-Calavi","ror":"https://ror.org/03gzr6j88","country_code":"BJ","type":"education","lineage":["https://openalex.org/I4210119417"]},{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"J. B. Chabi Orou","raw_affiliation_strings":["Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin","institution_ids":["https://openalex.org/I4210119417","https://openalex.org/I4210123509"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2872,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.79706755,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"02","first_page":"1550024","last_page":"1550024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.7465999722480774,"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":0.7465999722480774,"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":0.10890000313520432,"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/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.03099999949336052,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.7757999897003174},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.7055000066757202},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.6924999952316284},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6887999773025513},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6557000279426575},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.607699990272522},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.6047999858856201},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5978999733924866}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.7757999897003174},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.7055000066757202},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6924999952316284},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6887999773025513},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6557000279426575},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.607699990272522},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.6047999858856201},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5978999733924866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5971999764442444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5597000122070312},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5152999758720398},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.48500001430511475},{"id":"https://openalex.org/C164466805","wikidata":"https://www.wikidata.org/wiki/Q2632607","display_name":"Parametric oscillator","level":2,"score":0.451200008392334},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37720000743865967},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.36390000581741333},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.3190999925136566},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3165999948978424},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3147999942302704},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.30399999022483826},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2799000144004822},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.26429998874664307},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.26019999384880066}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127415500248","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500248","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"},{"id":"pmh:oai:arXiv.org:1310.0958","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1310.0958","pdf_url":"https://arxiv.org/pdf/1310.0958","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1310.0958","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1310.0958","pdf_url":"https://arxiv.org/pdf/1310.0958","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1983489126","https://openalex.org/W1995615893","https://openalex.org/W2000867917","https://openalex.org/W2017688122","https://openalex.org/W2021979778","https://openalex.org/W2030670079","https://openalex.org/W2038669708","https://openalex.org/W2044465000","https://openalex.org/W2053486833","https://openalex.org/W2086061639","https://openalex.org/W2088036341","https://openalex.org/W2092880841","https://openalex.org/W2094972665","https://openalex.org/W2114706487","https://openalex.org/W2143705266","https://openalex.org/W2170607368","https://openalex.org/W2593914299"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,9,34,42,71,79,92,95,101],"effect":[4,93],"of":[5,12,82,94],"nonlinear":[6,96],"dissipation":[7],"on":[8,70],"basin":[10,102],"boundaries":[11,103],"a":[13,52],"driven":[14],"two-well":[15],"modified":[16],"Rayleigh\u2013Duffing":[17],"oscillator":[18],"where":[19],"pure":[20,24],"cubic,":[21,23],"unpure":[22,27],"quadratic":[25,28,61],"and":[26,56,63,98],"nonlinearities":[29],"are":[30,68],"considered.":[31],"By":[32],"analyzing":[33],"potential,":[35],"an":[36],"analytic":[37],"expression":[38],"is":[39,48,85],"found":[40,69],"for":[41],"homoclinic":[43,54],"orbit.":[44],"The":[45],"Melnikov":[46,73],"criterion":[47],"used":[49],"to":[50,58,90],"examine":[51],"global":[53],"bifurcation":[55],"transition":[57],"chaos.":[59],"Unpure":[60],"parameter":[62],"parametric":[64],"excitation":[65],"amplitude":[66,74],"effects":[67],"critical":[72],"\u03bc":[75],"cr":[76],".":[77],"Finally,":[78],"phase":[80],"space":[81],"initial":[83],"conditions":[84],"carefully":[86],"examined":[87],"in":[88],"order":[89],"analyze":[91],"damping,":[97],"particularly":[99],"how":[100],"become":[104],"fractalized.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":3}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}