乐胖代购免代理版

{"id":"https://openalex.org/W4380877455","doi":"https://doi.org/10.1142/s0218127423500839","title":"Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus","display_name":"Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus","publication_year":2023,"publication_date":"2023-06-15","ids":{"openalex":"https://openalex.org/W4380877455","doi":"https://doi.org/10.1142/s0218127423500839"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500839","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5100436043","display_name":"Lei Wang","orcid":"https://orcid.org/0000-0002-9219-9234"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"funder","lineage":["https://openalex.org/I39774598"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Wang","raw_affiliation_strings":["Department of Mathematics and Statistics, Key Laboratory of Applied Mathematics and Artificial Intelligence Mechanism, Hefei University, Hefei 230601, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Key Laboratory of Applied Mathematics and Artificial Intelligence Mechanism, Hefei University, Hefei 230601, P. R. China","institution_ids":["https://openalex.org/I39774598"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049130877","display_name":"Xiao\u2010Song Yang","orcid":"https://orcid.org/0000-0002-4789-8335"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"funder","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Song Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":65},"biblio":{"volume":"33","issue":"07","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.998,"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/T10244","display_name":"Chaos control and synchronization","score":0.9947,"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-bifurcation","display_name":"Homoclinic bifurcation","score":0.79650974},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.7530639},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.7492913},{"id":"https://openalex.org/keywords/heteroclinic-orbit","display_name":"Heteroclinic orbit","score":0.6025345},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.46007687}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.9510467},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.79650974},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.7530639},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.7492913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.69324446},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.6117689},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.6025345},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.563133},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5166},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49633843},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.46007687},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.44722334},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34692365},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21583828},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17614412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08331269},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500839","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11702077"}],"datasets":[],"versions":[],"referenced_works_count":37,"referenced_works":["https://openalex.org/W1488048473","https://openalex.org/W1552277675","https://openalex.org/W1558079603","https://openalex.org/W1589876408","https://openalex.org/W1964818691","https://openalex.org/W1968084142","https://openalex.org/W1968220940","https://openalex.org/W1982233884","https://openalex.org/W1984913125","https://openalex.org/W2001555961","https://openalex.org/W2002782533","https://openalex.org/W2013501206","https://openalex.org/W2018526323","https://openalex.org/W2025120421","https://openalex.org/W2026653978","https://openalex.org/W2048431669","https://openalex.org/W2053658423","https://openalex.org/W2055526452","https://openalex.org/W2068471068","https://openalex.org/W2068536407","https://openalex.org/W2068780796","https://openalex.org/W2094734627","https://openalex.org/W2112799776","https://openalex.org/W2171987742","https://openalex.org/W2327359917","https://openalex.org/W2343604074","https://openalex.org/W2493008392","https://openalex.org/W2525448883","https://openalex.org/W2530719749","https://openalex.org/W2730635245","https://openalex.org/W2803715516","https://openalex.org/W2971925132","https://openalex.org/W3107596609","https://openalex.org/W4226395615","https://openalex.org/W4293078920","https://openalex.org/W4293522941","https://openalex.org/W4294967943"],"related_works":["https://openalex.org/W9644552","https://openalex.org/W3151500797","https://openalex.org/W2955054485","https://openalex.org/W2397038510","https://openalex.org/W2350473807","https://openalex.org/W2313034084","https://openalex.org/W2147240237","https://openalex.org/W2072009444","https://openalex.org/W1999123830","https://openalex.org/W1984913125"],"abstract_inverted_index":{"For":[0],"a":[1],"class":[2],"of":[3,14,17,27,47,65],"three-dimensional":[4],"piecewise":[5],"linear":[6],"systems":[7],"with":[8],"an":[9],"admissible":[10],"saddle-focus,":[11],"the":[12,23,28,45,63],"existence":[13],"three":[15],"kinds":[16],"homoclinic":[18,33],"loops":[19],"is":[20,70],"shown.":[21],"Moreover,":[22],"birth":[24],"and":[25,37,74],"number":[26],"periodic":[29,50,54,60,68,83,87],"orbits":[30,55,69,85],"induced":[31],"by":[32],"bifurcation":[34],"are":[35,41,77,92],"investigated,":[36],"various":[38],"sufficient":[39],"conditions":[40],"obtained":[42],"to":[43,81],"guarantee":[44],"appearance":[46],"only":[48],"one":[49],"orbit,":[51],"finitely":[52],"many":[53,59],"or":[56,86],"countably":[57],"infinitely":[58],"orbits.":[61],"Furthermore,":[62],"stability":[64],"these":[66],"newborn":[67],"analyzed":[71],"in":[72],"detail":[73],"some":[75,90],"conclusions":[76],"made":[78],"about":[79],"them":[80],"be":[82],"saddle":[84],"sinks.":[88],"Finally,":[89],"examples":[91],"given.":[93]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4380877455","counts_by_year":[],"updated_date":"2025-04-12T08:55:20.630990","created_date":"2023-06-17"}