{"id":"https://openalex.org/W149876935","doi":null,"title":"A survey on homoclinic and heterocolinic orbits.","display_name":"A survey on homoclinic and heterocolinic orbits.","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W149876935","mag":"149876935"},"language":"en","primary_location":{"id":"mag:149876935","doi":null,"is_oa":false,"landing_page_url":"http://emis.maths.adelaide.edu.au/journals/AMEN/2003/survey3.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306502634","display_name":"Applied Mathematics E-Notes [electronic only]","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Applied Mathematics E-Notes [electronic only]","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5100810921","display_name":"Bei-ye Feng","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bei-ye Feng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5083665930","display_name":"Rui Hua Hu","orcid":"https://orcid.org/0000-0001-7799-5198","observed_orcids":["https://orcid.org/0000-0001-7799-5198"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rui Hu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7799-5198","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.0196875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"16","last_page":"37"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.7490000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.7490000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.22630000114440918,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.002099999925121665,"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/homoclinic-orbits","display_name":"homoclinic orbits","score":1.0},{"id":"https://openalex.org/keywords/heteroclinic-orbits","display_name":"heteroclinic orbits","score":1.0},{"id":"https://openalex.org/keywords/dynamical-systems","display_name":"dynamical systems","score":0.7360000014305115},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"bifurcation theory","score":0.6600000262260437},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"periodic orbits","score":0.35499998927116394},{"id":"https://openalex.org/keywords/hamiltonian-systems","display_name":"Hamiltonian systems","score":0.5289999842643738}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.9710304141044617},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.4296633005142212},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.41511672735214233},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3541841506958008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3341140151023865},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22808009386062622},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.08285588026046753},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:149876935","doi":null,"is_oa":false,"landing_page_url":"http://emis.maths.adelaide.edu.au/journals/AMEN/2003/survey3.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306502634","display_name":"Applied Mathematics E-Notes [electronic only]","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Applied Mathematics E-Notes [electronic only]","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W6971014","https://openalex.org/W24558323","https://openalex.org/W126935648","https://openalex.org/W201746522","https://openalex.org/W352136236","https://openalex.org/W419306603","https://openalex.org/W424045364","https://openalex.org/W579500234","https://openalex.org/W1198208143","https://openalex.org/W1488048473","https://openalex.org/W1536954903","https://openalex.org/W1539776296","https://openalex.org/W1544852361","https://openalex.org/W1566666198","https://openalex.org/W1603340857","https://openalex.org/W1895869809","https://openalex.org/W1970006304","https://openalex.org/W1970717294","https://openalex.org/W1973016006","https://openalex.org/W1975171575","https://openalex.org/W1986250604","https://openalex.org/W1990215273","https://openalex.org/W2011630887","https://openalex.org/W2020451169","https://openalex.org/W2024806367","https://openalex.org/W2032281726","https://openalex.org/W2034465956","https://openalex.org/W2035927581","https://openalex.org/W2037406845","https://openalex.org/W2038280624","https://openalex.org/W2040995216","https://openalex.org/W2041103407","https://openalex.org/W2042498362","https://openalex.org/W2043691077","https://openalex.org/W2054948548","https://openalex.org/W2055476104","https://openalex.org/W2059654406","https://openalex.org/W2061809639","https://openalex.org/W2062427814","https://openalex.org/W2063622393","https://openalex.org/W2067447470","https://openalex.org/W2069228691","https://openalex.org/W2069765806","https://openalex.org/W2078512508","https://openalex.org/W2088754516","https://openalex.org/W2089876099","https://openalex.org/W2090154871","https://openalex.org/W2106405308","https://openalex.org/W2110413545","https://openalex.org/W2126084338","https://openalex.org/W2128088552","https://openalex.org/W2128949314","https://openalex.org/W2328479929","https://openalex.org/W2364857955","https://openalex.org/W2369709441","https://openalex.org/W2377352363","https://openalex.org/W2380023249","https://openalex.org/W3141151088"],"related_works":["https://openalex.org/W7096893819","https://openalex.org/W7100404599","https://openalex.org/W6907396829","https://openalex.org/W2481927538","https://openalex.org/W1852784853","https://openalex.org/W4244401072","https://openalex.org/W2351007599","https://openalex.org/W2089791893","https://openalex.org/W104308034","https://openalex.org/W2019211748"],"abstract_inverted_index":{"The":[0],"study":[1],"of":[2,15,25],"homoclinic":[3],"and":[4,33,42],"heteroclinic":[5],"orbits":[6],"has":[7],"a":[8],"long":[9],"history.":[10],"This":[11],"paper":[12],"surveys":[13],"some":[14,24,38,43],"the":[16,26],"recent":[17,31],"advances":[18],"in":[19,30,34],"this":[20],"topic.":[21],"We":[22],"present":[23],"main":[27],"results":[28],"obtained":[29],"years,":[32],"addition":[35],"we":[36],"indicate":[37],"possible":[39],"research":[40],"directions":[41],"problems":[44],"for":[45],"further":[46],"studies.":[47]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2016-06-24T00:00:00"}