{"id":"https://openalex.org/W4399240776","doi":"https://doi.org/10.1142/s0218127424500858","title":"How Does the Fractional Derivative Change the Complexity of the Caputo Standard Fractional Map","display_name":"How Does the Fractional Derivative Change the Complexity of the Caputo Standard Fractional Map","publication_year":2024,"publication_date":"2024-05-30","ids":{"openalex":"https://openalex.org/W4399240776","doi":"https://doi.org/10.1142/s0218127424500858"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127424500858","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424500858","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/A5014828096","display_name":"Ugn\u0117 Orinait\u0117","orcid":"https://orcid.org/0000-0002-7579-9086"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Ugne Orinaite","raw_affiliation_strings":["Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-7579-9086","affiliations":[{"raw_affiliation_string":"Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014251095","display_name":"Inga Telksnien\u0117","orcid":"https://orcid.org/0000-0002-0224-4725"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Inga Telksniene","raw_affiliation_strings":["Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-0224-4725","affiliations":[{"raw_affiliation_string":"Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037836788","display_name":"Tadas Telksnys","orcid":"https://orcid.org/0000-0002-4975-8467"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Tadas Telksnys","raw_affiliation_strings":["Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-4975-8467","affiliations":[{"raw_affiliation_string":"Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040829874","display_name":"Minvydas Ragulskis","orcid":"https://orcid.org/0000-0002-3348-9717"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Minvydas Ragulskis","raw_affiliation_strings":["Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-3348-9717","affiliations":[{"raw_affiliation_string":"Department of Mathematical Modelling, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172574986"],"apc_list":null,"apc_paid":null,"fwci":1.371,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78523726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"34","issue":"07","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":0.9879999756813049,"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":0.9879999756813049,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9487000107765198,"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"}},{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9387999773025513,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.800605058670044},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5375003814697266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48379844427108765},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45574450492858887},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11096248030662537}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.800605058670044},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5375003814697266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48379844427108765},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45574450492858887},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11096248030662537},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127424500858","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424500858","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W184801443","https://openalex.org/W1607198972","https://openalex.org/W1998220024","https://openalex.org/W2006205876","https://openalex.org/W2008722842","https://openalex.org/W2028593965","https://openalex.org/W2047599786","https://openalex.org/W2049057955","https://openalex.org/W2057616013","https://openalex.org/W2075559254","https://openalex.org/W2093056734","https://openalex.org/W2102892532","https://openalex.org/W2160163816","https://openalex.org/W2262385674","https://openalex.org/W2282734976","https://openalex.org/W2408502140","https://openalex.org/W2767455715","https://openalex.org/W2792080443","https://openalex.org/W2801192398","https://openalex.org/W2892606629","https://openalex.org/W2893866479","https://openalex.org/W2964055020","https://openalex.org/W2992434471","https://openalex.org/W2996327246","https://openalex.org/W3035135234","https://openalex.org/W3099285373","https://openalex.org/W3104203866","https://openalex.org/W3108658221","https://openalex.org/W3120189783","https://openalex.org/W3128296994","https://openalex.org/W3130571863","https://openalex.org/W3133982482","https://openalex.org/W3139540749","https://openalex.org/W3157122663","https://openalex.org/W3167066056","https://openalex.org/W3197372024","https://openalex.org/W4220987440","https://openalex.org/W4237029151","https://openalex.org/W4291493428","https://openalex.org/W4313439055","https://openalex.org/W4317207849","https://openalex.org/W4361301362","https://openalex.org/W4385272808","https://openalex.org/W4387353033","https://openalex.org/W4388249796"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2089892488","https://openalex.org/W2416906960","https://openalex.org/W2050580331","https://openalex.org/W3049300385"],"abstract_inverted_index":{"The":[0,19,60],"impact":[1,99],"of":[2,8,21,41,47,50,57,79,100,107,124],"power-law":[3],"memory":[4],"on":[5,104],"the":[6,9,26,37,45,48,54,58,63,68,77,80,86,90,98,101,105,108,118,122],"dynamics":[7,123],"Caputo":[10,27,81],"standard":[11,28,82,92],"fractional":[12,29,83,102,109],"map":[13,30,84,88],"is":[14,31,72,95,111,115],"investigated":[15],"in":[16,53],"this":[17],"paper.":[18],"definition":[20],"a":[22,42],"complexity":[23,40,106],"measure":[24,34],"for":[25],"introduced.":[32],"This":[33],"evaluates":[35],"both":[36],"average":[38],"algebraic":[39],"trajectory":[43],"and":[44,67,74,114],"distribution":[46],"trajectories":[49],"different":[51],"types":[52],"phase":[55],"space":[56],"system.":[59,126],"interplay":[61],"between":[62],"small-scale":[64],"spatial":[65,70],"chaos":[66],"large-scale":[69],"behavior":[71],"observed":[73],"measured":[75],"during":[76],"transition":[78],"from":[85],"circle":[87],"to":[89],"classical":[91],"map.":[93],"It":[94],"demonstrated":[96],"that":[97,125],"derivative":[103],"system":[110],"not":[112],"straightforward":[113],"predetermined":[116],"by":[117],"physical":[119],"properties":[120],"governing":[121]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}