{"id":"https://openalex.org/W1976828609","doi":"https://doi.org/10.1142/s0218127413300231","title":"THE STRUCTURE OF PHASE SPACE CLOSE TO FIXED POINTS IN A 4D SYMPLECTIC MAP","display_name":"THE STRUCTURE OF PHASE SPACE CLOSE TO FIXED POINTS IN A 4D SYMPLECTIC MAP","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1976828609","doi":"https://doi.org/10.1142/s0218127413300231","mag":"1976828609"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413300231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300231","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1205.4575","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"L. ZACHILAS","orcid":null},"institutions":[{"id":"https://openalex.org/I145722265","display_name":"University of Thessaly","ror":"https://ror.org/04v4g9h31","country_code":"GR","type":"education","lineage":["https://openalex.org/I145722265"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"L. ZACHILAS","raw_affiliation_strings":["Department of Economics, University of Thessaly, 43 Korai Str., GR-38333, Volos, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Economics, University of Thessaly, 43 Korai Str., GR-38333, Volos, Greece","institution_ids":["https://openalex.org/I145722265"]}]},{"author_position":"middle","author":{"id":null,"display_name":"M. KATSANIKAS","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I206127235","display_name":"Academy of Athens","ror":"https://ror.org/00qsdn986","country_code":"GR","type":"education","lineage":["https://openalex.org/I206127235"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"M. KATSANIKAS","raw_affiliation_strings":["Research Center for Astronomy, Academy of Athens, Soranou Efessiou 4, GR-11527 Athens, Greece","Section of Astrophysics, Astronomy and Mechanics, Department of Physics, University of Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Research Center for Astronomy, Academy of Athens, Soranou Efessiou 4, GR-11527 Athens, Greece","institution_ids":["https://openalex.org/I206127235"]},{"raw_affiliation_string":"Section of Astrophysics, Astronomy and Mechanics, Department of Physics, University of Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"last","author":{"id":null,"display_name":"P. A. PATSIS","orcid":null},"institutions":[{"id":"https://openalex.org/I206127235","display_name":"Academy of Athens","ror":"https://ror.org/00qsdn986","country_code":"GR","type":"education","lineage":["https://openalex.org/I206127235"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"P. A. PATSIS","raw_affiliation_strings":["Research Center for Astronomy, Academy of Athens, Soranou Efessiou 4, GR-11527 Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Research Center for Astronomy, Academy of Athens, Soranou Efessiou 4, GR-11527 Athens, Greece","institution_ids":["https://openalex.org/I206127235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145722265"],"apc_list":null,"apc_paid":null,"fwci":0.7677,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.71146919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"07","first_page":"1330023","last_page":"1330023"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.8885999917984009,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.8885999917984009,"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":0.03959999978542328,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.010200000368058681,"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/fixed-point","display_name":"Fixed point","score":0.7942000031471252},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.7501000165939331},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.6018999814987183},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.519599974155426},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.4799000024795532},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.4521999955177307},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41359999775886536},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.39239999651908875}],"concepts":[{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7942000031471252},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.7501000165939331},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6018999814987183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5368000268936157},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.519599974155426},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.4799000024795532},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.4521999955177307},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41359999775886536},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4043999910354614},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.39239999651908875},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38449999690055847},{"id":"https://openalex.org/C135661100","wikidata":"https://www.wikidata.org/wiki/Q1049064","display_name":"Symplectomorphism","level":3,"score":0.3831999897956848},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3772999942302704},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.36880001425743103},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.33410000801086426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3107999861240387},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2883000075817108},{"id":"https://openalex.org/C135007989","wikidata":"https://www.wikidata.org/wiki/Q643156","display_name":"Rotation number","level":3,"score":0.2833999991416931},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.2825999855995178},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.263700008392334}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127413300231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300231","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:arXiv.org:1205.4575","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.4575","pdf_url":"https://arxiv.org/pdf/1205.4575","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:ir.lib.uth.gr:11615/34767","is_oa":false,"landing_page_url":"http://hdl.handle.net/11615/34767","pdf_url":null,"source":{"id":"https://openalex.org/S4306400243","display_name":"University of Thessaly Institutional Repository (University of Thessaly)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145722265","host_organization_name":"University of Thessaly","host_organization_lineage":["https://openalex.org/I145722265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"<Go to ISI>://WOS:000323290100001","raw_type":"journalArticle"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1205.4575","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.4575","pdf_url":"https://arxiv.org/pdf/1205.4575","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1987765890","https://openalex.org/W2022745197","https://openalex.org/W2026029035","https://openalex.org/W2052802744","https://openalex.org/W2056963369","https://openalex.org/W2076118776","https://openalex.org/W2095179256","https://openalex.org/W2095268772","https://openalex.org/W2114371196","https://openalex.org/W2120732310","https://openalex.org/W2127143993","https://openalex.org/W2145221811","https://openalex.org/W2169173137"],"related_works":[],"abstract_inverted_index":{"We":[0,23],"study":[1],"the":[2,5,18,25,28,48,59,63,106,111],"dynamics":[3],"in":[4,10,32,42,83,110],"neighborhood":[6],"of":[7,17,62,65,79,97],"fixed":[8,54],"points":[9,55],"a":[11,94],"4D":[12,49,60,74],"symplectic":[13],"map":[14],"by":[15],"means":[16],"color":[19],"and":[20,36],"rotation":[21],"method.":[22],"compare":[24],"results":[26],"with":[27,88,105],"corresponding":[29],"cases":[30],"encountered":[31],"galactic":[33,89],"type":[34,90],"potentials":[35,91],"we":[37,108],"find":[38],"that":[39,47],"they":[40],"are":[41],"good":[43],"agreement.":[44],"The":[45],"fact":[46],"phase":[50],"space":[51],"close":[52,67],"to":[53,58,68],"is":[56,102],"similar":[57],"representations":[61],"surfaces":[64],"section":[66],"periodic":[69],"orbits,":[70],"indicates":[71],"an":[72],"archetypical":[73],"pattern":[75,101],"for":[76,93],"each":[77],"kind":[78],"(in)stability,":[80],"not":[81],"only":[82],"3D":[84],"autonomous":[85],"Hamiltonian":[86],"systems":[87],"but":[92],"larger":[95],"class":[96],"dynamical":[98],"systems.":[99],"This":[100],"successfully":[103],"visualized":[104],"method":[107],"use":[109],"paper.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2016-06-24T00:00:00"}