{"id":"https://openalex.org/W2073462162","doi":"https://doi.org/10.1142/s0218127413300218","title":"ON THE DYNAMICS OF A SIMPLE RATIONAL PLANAR MAP","display_name":"ON THE DYNAMICS OF A SIMPLE RATIONAL PLANAR MAP","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2073462162","doi":"https://doi.org/10.1142/s0218127413300218","mag":"2073462162"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413300218","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300218","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/A5080167889","display_name":"Christoforos Somarakis","orcid":"https://orcid.org/0000-0003-4601-2501"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"CHRISTOFOROS SOMARAKIS","raw_affiliation_strings":["Department of Applied Mathematics, University of Maryland, College Park, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Maryland, College Park, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111576689","display_name":"John S. Baras","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JOHN S. BARAS","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Maryland, College Park, USA","[Department of Electrical and Computer Engineering, University of Maryland College Park, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Maryland, College Park, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, University of Maryland College Park, USA]","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11569734,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"06","first_page":"1330021","last_page":"1330021"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9991999864578247,"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":0.9991999864578247,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9939000010490417,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9914000034332275,"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/quasiperiodicity","display_name":"Quasiperiodicity","score":0.9111864566802979},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8183916807174683},{"id":"https://openalex.org/keywords/intermittency","display_name":"Intermittency","score":0.8154488801956177},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6490767598152161},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.5786479115486145},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5693656206130981},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5241929888725281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5203942060470581},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.48112788796424866},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.47414490580558777},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4571499824523926},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45553824305534363},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44984763860702515},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.44587141275405884},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3100246787071228},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.275912344455719},{"id":"https://openalex.org/keywords/quasiperiodic-function","display_name":"Quasiperiodic function","score":0.21711552143096924},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1394079327583313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1318109929561615},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08774563670158386}],"concepts":[{"id":"https://openalex.org/C2780843604","wikidata":"https://www.wikidata.org/wiki/Q7269515","display_name":"Quasiperiodicity","level":3,"score":0.9111864566802979},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8183916807174683},{"id":"https://openalex.org/C2780388094","wikidata":"https://www.wikidata.org/wiki/Q1666248","display_name":"Intermittency","level":3,"score":0.8154488801956177},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6490767598152161},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.5786479115486145},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5693656206130981},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5241929888725281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5203942060470581},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.48112788796424866},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.47414490580558777},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4571499824523926},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45553824305534363},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44984763860702515},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.44587141275405884},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3100246787071228},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.275912344455719},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.21711552143096924},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1394079327583313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1318109929561615},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08774563670158386},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127413300218","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300218","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":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309374","display_name":"Ohio State University","ror":"https://ror.org/00rs6vg23"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1967755877","https://openalex.org/W1970127290","https://openalex.org/W1977049669","https://openalex.org/W1979957032","https://openalex.org/W1998942494","https://openalex.org/W1998948462","https://openalex.org/W2004021828","https://openalex.org/W2029401646","https://openalex.org/W2065644906","https://openalex.org/W2089876099","https://openalex.org/W2124970715","https://openalex.org/W2129188043","https://openalex.org/W2189246036"],"related_works":["https://openalex.org/W2143208590","https://openalex.org/W2362584470","https://openalex.org/W2372419504","https://openalex.org/W2546487931","https://openalex.org/W4214875847","https://openalex.org/W2364686153","https://openalex.org/W2978098199","https://openalex.org/W2023134052","https://openalex.org/W2003334682","https://openalex.org/W3146383453"],"abstract_inverted_index":{"The":[0],"dynamics":[1],"of":[2,13],"the":[3,17,26],"map":[4],"[Formula:":[5],"see":[6],"text]":[7],"are":[8,51,66],"discussed":[9],"for":[10],"various":[11],"values":[12],"its":[14],"parameters.":[15],"Despite":[16],"simple":[18],"algebraic":[19],"structure,":[20],"this":[21,56],"map,":[22],"recently":[23],"introduced":[24],"in":[25,31],"literature,":[27],"is":[28],"very":[29],"rich":[30],"nonlinear":[32],"phenomena.":[33],"Multiple":[34],"strange":[35,58],"attractors,":[36,59],"transitions":[37],"to":[38],"chaos":[39],"via":[40],"period-doubling":[41],"bifurcations,":[42],"quasiperiodicity":[43],"as":[44,46],"well":[45],"intermittency,":[47],"interior":[48],"crisis,":[49],"hyperchaos":[50],"only":[52],"a":[53],"few.":[54],"In":[55],"work,":[57],"bifurcation":[60],"diagrams,":[61],"periodic":[62],"windows,":[63],"invariant":[64],"characteristics":[65],"investigated":[67],"both":[68],"analytically":[69],"and":[70],"numerically.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}