{"id":"https://openalex.org/W1893801903","doi":"https://doi.org/10.1109/sis.2003.1202244","title":"Computing periodic orbits of nondifferentiable/discontinuous mappings through particle swarm optimization","display_name":"Computing periodic orbits of nondifferentiable/discontinuous mappings through particle swarm optimization","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W1893801903","doi":"https://doi.org/10.1109/sis.2003.1202244","mag":"1893801903"},"language":"en","primary_location":{"id":"doi:10.1109/sis.2003.1202244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sis.2003.1202244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 IEEE Swarm Intelligence Symposium. SIS'03 (Cat. No.03EX706)","raw_type":"proceedings-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/A5042020828","display_name":"Konstantinos E. Parsopoulos","orcid":"https://orcid.org/0000-0002-0599-4353"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"K.E. Parsopoulos","raw_affiliation_strings":["Department of Mathematics, Artificial Intelligence Research Center (UPAIRC), University of Patras, Patras, Greece","Dept. of Math., Patras Univ., Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Artificial Intelligence Research Center (UPAIRC), University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]},{"raw_affiliation_string":"Dept. of Math., Patras Univ., Greece","institution_ids":["https://openalex.org/I174878644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044810424","display_name":"Michael N. Vrahatis","orcid":"https://orcid.org/0000-0001-8357-7435"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"M.N. Vrahatis","raw_affiliation_strings":["Department of Mathematics, Artificial Intelligence Research Center (UPAIRC), University of Patras, Patras, Greece","Dept. of Math., Patras Univ., Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Artificial Intelligence Research Center (UPAIRC), University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]},{"raw_affiliation_string":"Dept. of Math., Patras Univ., Greece","institution_ids":["https://openalex.org/I174878644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042020828"],"corresponding_institution_ids":["https://openalex.org/I174878644"],"apc_list":null,"apc_paid":null,"fwci":2.4714,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.88316986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"34","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.995199978351593,"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":0.995199978351593,"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":0.9916999936103821,"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":0.9901999831199646,"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/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.7646838426589966},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.6614373922348022},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6457724571228027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5917661190032959},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.544044017791748},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.45461711287498474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43319404125213623},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38124433159828186},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37707507610321045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31033217906951904},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12856540083885193},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10246008634567261}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.7646838426589966},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.6614373922348022},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6457724571228027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5917661190032959},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.544044017791748},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.45461711287498474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43319404125213623},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38124433159828186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37707507610321045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31033217906951904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12856540083885193},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10246008634567261},{"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:10.1109/sis.2003.1202244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sis.2003.1202244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 IEEE Swarm Intelligence Symposium. SIS'03 (Cat. No.03EX706)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W17724786","https://openalex.org/W33851185","https://openalex.org/W92074458","https://openalex.org/W117663744","https://openalex.org/W155679744","https://openalex.org/W1528672889","https://openalex.org/W1531367997","https://openalex.org/W1556059214","https://openalex.org/W1560921017","https://openalex.org/W1565206817","https://openalex.org/W1577668191","https://openalex.org/W1580876177","https://openalex.org/W1591599071","https://openalex.org/W1925428099","https://openalex.org/W1967008192","https://openalex.org/W1969593937","https://openalex.org/W1971071598","https://openalex.org/W1979717212","https://openalex.org/W1987765890","https://openalex.org/W1992091303","https://openalex.org/W1994145001","https://openalex.org/W2020679125","https://openalex.org/W2022067958","https://openalex.org/W2027319674","https://openalex.org/W2053289371","https://openalex.org/W2057001158","https://openalex.org/W2075336992","https://openalex.org/W2077490941","https://openalex.org/W2081749411","https://openalex.org/W2084643307","https://openalex.org/W2088432334","https://openalex.org/W2093105579","https://openalex.org/W2119649089","https://openalex.org/W2141394518","https://openalex.org/W2152195021","https://openalex.org/W2156088441","https://openalex.org/W2165299997","https://openalex.org/W2169245194","https://openalex.org/W2171107890","https://openalex.org/W2343728241","https://openalex.org/W4285719527","https://openalex.org/W6603157550","https://openalex.org/W6631560840","https://openalex.org/W6634034674"],"related_works":["https://openalex.org/W2056626217","https://openalex.org/W1541871911","https://openalex.org/W1966008566","https://openalex.org/W2184005427","https://openalex.org/W3185784018","https://openalex.org/W2115021875","https://openalex.org/W2079574545","https://openalex.org/W3212383242","https://openalex.org/W3127651486","https://openalex.org/W2050258033"],"abstract_inverted_index":{"Periodic":[0],"orbits":[1,75,108,132],"of":[2,12,31,38,109,133],"nonlinear":[3,134],"mappings":[4,40,42],"play":[5],"a":[6,63,69,110],"central":[7],"role":[8],"in":[9,35],"the":[10,21,29,36,86,93,113,121],"study":[11],"dynamical":[13],"systems.":[14],"Traditional":[15],"root":[16],"finding":[17],"algorithms,":[18,23],"such":[19,54,101],"as":[20,102],"Newton-family":[22],"have":[24,59],"been":[25],"widely":[26],"applied":[27],"for":[28,72,129],"detection":[30],"periodic":[32,74,107,131],"orbits.":[33],"However,":[34],"case":[37],"discontinuous/nondifferentiable":[39],"and":[41,90],"with":[43,98],"poorly":[44],"behaved":[45],"partial":[46],"derivatives,":[47],"this":[48,67],"approach":[49,71,123],"is":[50,80,88,117],"not":[51],"valid.":[52],"In":[53,66],"cases,":[55],"stochastic":[56],"optimization":[57,79],"algorithms":[58],"proved":[60],"to":[61,104,119],"be":[62,96],"valuable":[64],"tool.":[65],"paper,":[68],"new":[70],"computing":[73,130],"through":[76],"particle":[77],"swarm":[78],"introduced.":[81],"The":[82],"results":[83],"indicate":[84],"that":[85],"algorithm":[87],"robust":[89],"efficient.":[91],"Moreover,":[92],"method":[94],"can":[95],"combined":[97],"established":[99],"techniques,":[100],"deflection,":[103],"detect":[105],"several":[106],"mapping.":[111],"Finally,":[112],"minor":[114],"effort":[115],"which":[116],"required":[118],"implement":[120],"proposed":[122],"renders":[124],"it":[125],"an":[126],"efficient":[127],"alternative":[128],"mappings.":[135]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
