{"id":"https://openalex.org/W2810104609","doi":"https://doi.org/10.1155/2018/8517125","title":"On a Generalization of Hofstadter\u2019s<i>Q</i>\u2010Sequence: A Family of Chaotic Generational Structures","display_name":"On a Generalization of Hofstadter\u2019s<i>Q</i>\u2010Sequence: A Family of Chaotic Generational Structures","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2810104609","doi":"https://doi.org/10.1155/2018/8517125","mag":"2810104609"},"language":"en","primary_location":{"id":"doi:10.1155/2018/8517125","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8517125","pdf_url":"http://downloads.hindawi.com/journals/complexity/2018/8517125.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/complexity/2018/8517125.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067438013","display_name":"Altug Alkan","orcid":"https://orcid.org/0000-0002-3627-2206"},"institutions":[{"id":"https://openalex.org/I101840525","display_name":"Piri Reis University","ror":"https://ror.org/02eq60031","country_code":"TR","type":"education","lineage":["https://openalex.org/I101840525"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Altug Alkan","raw_affiliation_strings":["Graduate School of Science and Engineering, Piri Reis University, 34940 Tuzla, Istanbul, Turkey","Graduate School of Science and Engineering, Piri Reis University, 34940 Tuzla, Istanbul"],"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Piri Reis University, 34940 Tuzla, Istanbul, Turkey","institution_ids":["https://openalex.org/I101840525"]},{"raw_affiliation_string":"Graduate School of Science and Engineering, Piri Reis University, 34940 Tuzla, Istanbul","institution_ids":["https://openalex.org/I101840525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067438013"],"corresponding_institution_ids":["https://openalex.org/I101840525"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.6391,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65750412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9890000224113464,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.988099992275238,"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/algorithm","display_name":"Algorithm","score":0.5918745994567871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37187010049819946},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3706655502319336}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5918745994567871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37187010049819946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3706655502319336}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2018/8517125","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8517125","pdf_url":"http://downloads.hindawi.com/journals/complexity/2018/8517125.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1c774cff3eca4ce7859ecbcc70d742e1","is_oa":true,"landing_page_url":"https://doaj.org/article/1c774cff3eca4ce7859ecbcc70d742e1","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/8517125","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8517125","pdf_url":"http://downloads.hindawi.com/journals/complexity/2018/8517125.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2810104609.pdf","grobid_xml":"https://content.openalex.org/works/W2810104609.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1555475515","https://openalex.org/W1820243851","https://openalex.org/W1884798717","https://openalex.org/W1978031380","https://openalex.org/W1984763003","https://openalex.org/W1991912396","https://openalex.org/W1994768225","https://openalex.org/W2285313994","https://openalex.org/W2396919090","https://openalex.org/W2769979841","https://openalex.org/W2952258329","https://openalex.org/W3103477730","https://openalex.org/W4205534191","https://openalex.org/W4244978472","https://openalex.org/W4403207489"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2317200988","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278"],"abstract_inverted_index":{"Hofstadter":[0],"Q":[1,9,14,18,24,28,52,89,124],"\u2010recurrence":[2,125],"is":[3,54],"defined":[4],"by":[5],"the":[6,102,111],"nested":[7],"recurrence":[8],"(":[10,15,19,25,29],"n":[11,16,20,26,30],")":[12],"=":[13],"\u2212":[17,21,27,31],"1))":[22],"+":[23],"2)),":[32],"and":[33,56,70,81,126],"there":[34],"are":[35,62],"still":[36],"many":[37],"unanswered":[38],"questions":[39],"about":[40],"certain":[41],"solutions":[42,122],"of":[43,50,59,93,96,104,113,129],"it.":[44,130],"In":[45,100],"this":[46,60,107],"paper,":[47],"a":[48,127],"generalization":[49,61,128],"Hofstadter\u2019s":[51,87],"\u2010sequence":[53,90],"proposed":[55],"selected":[57],"members":[58],"investigated":[63],"based":[64],"on":[65],"their":[66,97],"chaotic":[67],"generational":[68],"structures":[69],"Pinn\u2019s":[71],"statistical":[72,84],"technique.":[73],"Solutions":[74],"studied":[75],"have":[76],"also":[77],"curious":[78],"approximate":[79],"patterns":[80],"considerably":[82],"similar":[83],"properties":[85,116],"with":[86],"famous":[88],"in":[91,117],"terms":[92],"growth":[94],"characteristics":[95],"successive":[98],"generations.":[99],"fact,":[101],"family":[103],"sequences":[105],"that":[106],"paper":[108],"introduces":[109],"suggests":[110],"existence":[112],"conjectural":[114],"global":[115],"order":[118],"to":[119,123],"classify":[120],"unpredictable":[121]},"counts_by_year":[{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-07-10T00:00:00"}
