{"id":"https://openalex.org/W1974019613","doi":"https://doi.org/10.1142/s0218127413500016","title":"MULTI-PULSE HETEROCLINIC ORBITS AND CHAOTIC MOTIONS IN A PARAMETRICALLY EXCITED VISCOELASTIC MOVING BELT","display_name":"MULTI-PULSE HETEROCLINIC ORBITS AND CHAOTIC MOTIONS IN A PARAMETRICALLY EXCITED VISCOELASTIC MOVING BELT","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1974019613","doi":"https://doi.org/10.1142/s0218127413500016","mag":"1974019613"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413500016","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413500016","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/A5103086179","display_name":"Minghui Yao","orcid":"https://orcid.org/0000-0002-5873-6905"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MINGHUI YAO","raw_affiliation_strings":["College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","College of Mechanical Engineering , Beijing University of Technology , Beijing 100124 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"College of Mechanical Engineering , Beijing University of Technology , Beijing 100124 , P.R. China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5118983736","display_name":"Wei Zhang","orcid":"https://orcid.org/0000-0002-8850-5235"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"WEI ZHANG","raw_affiliation_strings":["College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","College of Mechanical Engineering , Beijing University of Technology , Beijing 100124 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"College of Mechanical Engineering , Beijing University of Technology , Beijing 100124 , P.R. China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110621811","display_name":"Jean W. Zu","orcid":"https://orcid.org/0009-0004-9248-4459"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CA","CN"],"is_corresponding":false,"raw_author_name":"JEAN W. ZU","raw_affiliation_strings":["College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","Department of Mechanical &amp; Industrial Engineering, University of Toronto, Toronto, Ontario M5S 3G8, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Department of Mechanical &amp; Industrial Engineering, University of Toronto, Toronto, Ontario M5S 3G8, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5017,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.70278372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"23","issue":"01","first_page":"1350001","last_page":"1350001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9397000074386597,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/chaotic","display_name":"Chaotic","score":0.7740565538406372},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6475799083709717},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.5689624547958374},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.5317149758338928},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5101302266120911},{"id":"https://openalex.org/keywords/multiple-scale-analysis","display_name":"Multiple-scale analysis","score":0.4956015348434448},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.48291489481925964},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48175549507141113},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.47209447622299194},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.42406678199768066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41593432426452637},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.40767142176628113},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.403001606464386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3966742157936096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10082274675369263}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7740565538406372},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6475799083709717},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.5689624547958374},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.5317149758338928},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5101302266120911},{"id":"https://openalex.org/C40678858","wikidata":"https://www.wikidata.org/wiki/Q6934874","display_name":"Multiple-scale analysis","level":3,"score":0.4956015348434448},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.48291489481925964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48175549507141113},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.47209447622299194},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.42406678199768066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41593432426452637},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.40767142176628113},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.403001606464386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3966742157936096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10082274675369263},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127413500016","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413500016","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","id":"https://metadata.un.org/sdg/11","score":0.5199999809265137}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336125","display_name":"National Science Fund for Distinguished Young Scholars","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W10426235","https://openalex.org/W126935648","https://openalex.org/W1523384518","https://openalex.org/W1703931032","https://openalex.org/W1967494962","https://openalex.org/W1969424657","https://openalex.org/W1971889694","https://openalex.org/W1977380103","https://openalex.org/W1978058836","https://openalex.org/W1980019518","https://openalex.org/W1982516032","https://openalex.org/W1991729125","https://openalex.org/W1995917393","https://openalex.org/W2002158743","https://openalex.org/W2011502928","https://openalex.org/W2017710376","https://openalex.org/W2027084553","https://openalex.org/W2028226986","https://openalex.org/W2030098251","https://openalex.org/W2037055502","https://openalex.org/W2038143838","https://openalex.org/W2048863466","https://openalex.org/W2053026960","https://openalex.org/W2064934840","https://openalex.org/W2067067267","https://openalex.org/W2073099347","https://openalex.org/W2082786626","https://openalex.org/W2087672806","https://openalex.org/W2091590993","https://openalex.org/W2093246922","https://openalex.org/W2106405308","https://openalex.org/W2163104606","https://openalex.org/W2163681325","https://openalex.org/W2322438768"],"related_works":["https://openalex.org/W2891800051","https://openalex.org/W2364029836","https://openalex.org/W2042882996","https://openalex.org/W2087101032","https://openalex.org/W2050926193","https://openalex.org/W2363702488","https://openalex.org/W2371561762","https://openalex.org/W1974315464","https://openalex.org/W2966195139","https://openalex.org/W2102407144"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,16,29,33,38,42,47,54,68,72,77,80,84,96,105,111,113,117,123,131,144,147,163],"multi-pulse":[4,99,118,134],"global":[5],"heteroclinic":[6,69],"bifurcations":[7,70,100],"and":[8,41,60,75,101,156],"chaotic":[9,102,135,151],"dynamics":[10,82,103],"for":[11,53,67,76,162],"nonlinear,":[12],"nonplanar":[13],"oscillations":[14],"of":[15,35,44,56,71,79,83,104,116,146,150],"parametrically":[17],"excited":[18],"viscoelastic":[19,106],"moving":[20,107],"belts":[21],"by":[22],"using":[23],"an":[24],"extended":[25,89],"Melnikov":[26,90],"method":[27,34,91],"in":[28,122,167],"resonant":[30],"case.":[31],"Applying":[32],"multiple":[36],"scales,":[37],"Galerkin's":[39],"approach":[40],"theory":[43],"normal":[45,49],"form,":[46],"explicit":[48],"form":[50],"is":[51,92,120],"obtained":[52],"case":[55],"1:1":[57],"internal":[58],"resonance":[59],"primary":[61],"parametric":[62],"resonance.":[63],"Studies":[64],"are":[65],"performed":[66],"unperturbed":[73],"system":[74],"characteristics":[78],"hyperbolic":[81],"dissipative":[85],"system,":[86],"respectively.":[87],"The":[88],"used":[93],"to":[94,143],"investigate":[95],"Shilnikov":[97,132],"type":[98,133],"belt.":[108],"Based":[109],"on":[110],"investigation,":[112],"geometric":[114],"structure":[115],"orbits":[119],"described":[121],"four-dimensional":[124],"phase":[125],"space.":[126],"Numerical":[127],"simulations":[128,141],"show":[129],"that":[130,160],"motions":[136],"can":[137],"occur.":[138],"Furthermore,":[139],"numerical":[140,157],"lead":[142],"discovery":[145],"new":[148],"shapes":[149],"motion.":[152],"Overall,":[153],"both":[154],"theoretical":[155],"studies":[158],"suggest":[159],"chaos":[161],"Smale":[164],"horseshoe":[165],"sense":[166],"motion":[168],"exists.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
