{"id":"https://openalex.org/W2134828356","doi":"https://doi.org/10.1142/s0218127415500455","title":"Bifurcations and Exact Solutions of a Modulated Equation in a Discrete Nonlinear Electrical Transmission Line (II)","display_name":"Bifurcations and Exact Solutions of a Modulated Equation in a Discrete Nonlinear Electrical Transmission Line (II)","publication_year":2015,"publication_date":"2015-03-01","ids":{"openalex":"https://openalex.org/W2134828356","doi":"https://doi.org/10.1142/s0218127415500455","mag":"2134828356"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415500455","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500455","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/A5100599691","display_name":"Jibin Li","orcid":"https://orcid.org/0000-0003-4839-5956"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jibin Li","raw_affiliation_strings":["Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109720231","display_name":"Fengjuan Chen","orcid":"https://orcid.org/0000-0002-1663-4812"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengjuan Chen","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9279,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75251642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"03","first_page":"1550045","last_page":"1550045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9988999962806702,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9988999962806702,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9987999796867371,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.8424589037895203},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.7035460472106934},{"id":"https://openalex.org/keywords/peakon","display_name":"Peakon","score":0.611996054649353},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6087696552276611},{"id":"https://openalex.org/keywords/cusp","display_name":"Cusp (singularity)","score":0.6022651195526123},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5734010338783264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5644673109054565},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5435760021209717},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5387319922447205},{"id":"https://openalex.org/keywords/transmission-line","display_name":"Transmission line","score":0.47970980405807495},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.47646188735961914},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4366466701030731},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4067692458629608},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2889222502708435},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10885980725288391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06420290470123291}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8424589037895203},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.7035460472106934},{"id":"https://openalex.org/C155091195","wikidata":"https://www.wikidata.org/wiki/Q7157892","display_name":"Peakon","level":3,"score":0.611996054649353},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6087696552276611},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.6022651195526123},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5734010338783264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5644673109054565},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5435760021209717},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5387319922447205},{"id":"https://openalex.org/C33441834","wikidata":"https://www.wikidata.org/wiki/Q693004","display_name":"Transmission line","level":2,"score":0.47970980405807495},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.47646188735961914},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4366466701030731},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4067692458629608},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2889222502708435},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10885980725288391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06420290470123291},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127415500455","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500455","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1994828676","https://openalex.org/W2030202422","https://openalex.org/W2081606418","https://openalex.org/W2091234113","https://openalex.org/W2091641219","https://openalex.org/W4241617166","https://openalex.org/W4289981527"],"related_works":["https://openalex.org/W2024435521","https://openalex.org/W2271693395","https://openalex.org/W1771956922","https://openalex.org/W2065065388","https://openalex.org/W1965864985","https://openalex.org/W3143453476","https://openalex.org/W2084665907","https://openalex.org/W2509546410","https://openalex.org/W2053879682","https://openalex.org/W2364532659"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,44,64],"consider":[4],"a":[5,13],"model":[6,20],"which":[7],"is":[8,21],"the":[9,34,41,48,52],"modulated":[10],"equation":[11],"in":[12],"discrete":[14],"nonlinear":[15],"electrical":[16],"transmission":[17],"line.":[18],"This":[19],"an":[22],"integrable":[23],"planar":[24],"dynamical":[25,42],"system":[26,53],"having":[27],"three":[28],"singular":[29,37],"straight":[30],"lines.":[31],"By":[32],"using":[33],"theory":[35],"of":[36,47,51,71],"systems":[38],"and":[39,77],"investigating":[40],"behavior,":[43],"obtain":[45],"bifurcations":[46],"phase":[49],"portraits":[50],"under":[54,85],"different":[55,86],"parameter":[56,87],"conditions.":[57,88],"Corresponding":[58],"to":[59],"some":[60],"special":[61],"level":[62],"curves,":[63],"derive":[65],"possible":[66],"exact":[67],"explicit":[68],"parametric":[69],"representations":[70],"solutions":[72],"(including":[73],"smooth":[74],"solitary":[75],"wave":[76,79,83],"periodic":[78,81],"solutions,":[80],"cusp":[82],"solutions)":[84]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
