{"id":"https://openalex.org/W1969443613","doi":"https://doi.org/10.1142/s0218127405012752","title":"PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP","display_name":"PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP","publication_year":2005,"publication_date":"2005-04-01","ids":{"openalex":"https://openalex.org/W1969443613","doi":"https://doi.org/10.1142/s0218127405012752","mag":"1969443613"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405012752","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012752","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/A5081475028","display_name":"\u0412\u0438\u043a\u0442\u043e\u0440 \u0410\u0432\u0440\u0443\u0442\u0438\u043d","orcid":"https://orcid.org/0000-0001-7931-8844"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"V. AVRUTIN","raw_affiliation_strings":["Institute of Parallel and Distributed Systems (IPVS), University of Stuttgart, Universit\u00e4tstrasse 38, D-70569 Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Parallel and Distributed Systems (IPVS), University of Stuttgart, Universit\u00e4tstrasse 38, D-70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020957471","display_name":"Martin Schanz","orcid":"https://orcid.org/0000-0002-6177-8751"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. SCHANZ","raw_affiliation_strings":["Institute of Parallel and Distributed Systems (IPVS), University of Stuttgart, Universit\u00e4tstrasse 38, D-70569 Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Parallel and Distributed Systems (IPVS), University of Stuttgart, Universit\u00e4tstrasse 38, D-70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":1.1063,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.74566474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"04","first_page":"1267","last_page":"1284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9991000294685364,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9962999820709229,"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/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.8478032350540161},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.8416501879692078},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7088697552680969},{"id":"https://openalex.org/keywords/bogdanov\u2013takens-bifurcation","display_name":"Bogdanov\u2013Takens bifurcation","score":0.6937761306762695},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.6353788375854492},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.6100966334342957},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.566373884677887},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5502514839172363},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.5218952298164368},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.51992267370224},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.48836109042167664},{"id":"https://openalex.org/keywords/infinite-period-bifurcation","display_name":"Infinite-period bifurcation","score":0.4633650481700897},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4552731215953827},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3577083945274353},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3444998562335968},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26793068647384644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15592744946479797},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0772528350353241}],"concepts":[{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.8478032350540161},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.8416501879692078},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7088697552680969},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.6937761306762695},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.6353788375854492},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.6100966334342957},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.566373884677887},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5502514839172363},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.5218952298164368},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.51992267370224},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.48836109042167664},{"id":"https://openalex.org/C165150564","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Infinite-period bifurcation","level":5,"score":0.4633650481700897},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4552731215953827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3577083945274353},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3444998562335968},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26793068647384644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15592744946479797},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0772528350353241},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127405012752","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012752","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:informatik.uni-stuttgart.de:ART-2005-04","is_oa":false,"landing_page_url":"http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=ART-2005-04&amp;engl=1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401306","display_name":"Fachbereich Informatik (University of Stuttgart)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I100066346","host_organization_name":"University of Stuttgart","host_organization_lineage":["https://openalex.org/I100066346"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\\n In: International Journal of Bifurcation and Chaos. Vol. 15(4), pp.\\n 1267-1284\\n","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6399999856948853,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W132845994","https://openalex.org/W629413978","https://openalex.org/W1524905502","https://openalex.org/W1573241742","https://openalex.org/W1973120596","https://openalex.org/W1974520525","https://openalex.org/W1981045909","https://openalex.org/W1988848880","https://openalex.org/W1989097268","https://openalex.org/W2000640927","https://openalex.org/W2008969944","https://openalex.org/W2009744004","https://openalex.org/W2010563571","https://openalex.org/W2011227277","https://openalex.org/W2014270169","https://openalex.org/W2020783811","https://openalex.org/W2022292249","https://openalex.org/W2024611595","https://openalex.org/W2030450697","https://openalex.org/W2031604902","https://openalex.org/W2037874627","https://openalex.org/W2041403063","https://openalex.org/W2049793915","https://openalex.org/W2050592460","https://openalex.org/W2052228186","https://openalex.org/W2055802137","https://openalex.org/W2060587651","https://openalex.org/W2076535316","https://openalex.org/W2077353960","https://openalex.org/W2082209869","https://openalex.org/W2092240635","https://openalex.org/W2093559080","https://openalex.org/W2094656677","https://openalex.org/W2101893896","https://openalex.org/W2129948288","https://openalex.org/W2131594701","https://openalex.org/W2141394518","https://openalex.org/W2148764917","https://openalex.org/W2158078748","https://openalex.org/W2159251357","https://openalex.org/W2165907526","https://openalex.org/W2313430142","https://openalex.org/W2617302617","https://openalex.org/W4234597744"],"related_works":["https://openalex.org/W2546487931","https://openalex.org/W3020506472","https://openalex.org/W2775656422","https://openalex.org/W4245057904","https://openalex.org/W2025138898","https://openalex.org/W2325048728","https://openalex.org/W2978098199","https://openalex.org/W4281733204","https://openalex.org/W3081645617","https://openalex.org/W2054978396"],"abstract_inverted_index":{"In":[0],"this":[1,79],"work":[2],"a":[3,9,25,56,67,72],"one-dimensional":[4],"piecewise-smooth":[5],"dynamical":[6,14],"system,":[7],"representing":[8],"Poincar\u00e9":[10],"return":[11],"map":[12],"for":[13],"systems":[15],"of":[16,58,60,66,93],"the":[17,30],"Lorenz":[18],"type,":[19],"is":[20,36,53],"investigated.":[21,97],"The":[22,75],"system":[23],"shows":[24],"bifurcation":[26,49,70],"scenario":[27,52,80],"similar":[28],"to":[29,78],"classical":[31],"period-doubling":[32,48],"one,":[33],"but":[34],"which":[35],"influenced":[37],"by":[38,55],"so-called":[39],"border":[40,46,68],"collision":[41,47,69],"phenomena":[42],"and":[43,71,81,87],"denoted":[44],"as":[45,89,91],"scenario.":[50],"This":[51],"formed":[54],"sequence":[57],"pairs":[59],"bifurcations,":[61],"whereby":[62],"each":[63],"pair":[64],"consists":[65],"pitchfork":[73],"bifurcation.":[74],"mechanism":[76],"leading":[77],"its":[82],"characteristic":[83],"properties,":[84],"like":[85],"symmetry-breaking":[86],"symmetry-recovering":[88],"well":[90],"emergence":[92],"coexisting":[94],"attractors,":[95],"are":[96]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
