{"id":"https://openalex.org/W3107102869","doi":"https://doi.org/10.3233/faia200775","title":"An Octave Package to Perform Qualitative Analysis of Nonlinear Systems Immersed in R4","display_name":"An Octave Package to Perform Qualitative Analysis of Nonlinear Systems Immersed in R4","publication_year":2020,"publication_date":"2020-12-02","ids":{"openalex":"https://openalex.org/W3107102869","doi":"https://doi.org/10.3233/faia200775","mag":"3107102869"},"language":"en","primary_location":{"id":"doi:10.3233/faia200775","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia200775","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200775","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200775","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051496924","display_name":"Eder Escobar","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Eder Escobar","raw_affiliation_strings":["Science Faculty, Universidad Nacional de Piura, Piura, Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science Faculty, Universidad Nacional de Piura, Piura, Peru","institution_ids":["https://openalex.org/I4210132058"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074041496","display_name":"Richard Abramonte","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Richard Abramonte","raw_affiliation_strings":["Science Faculty, Universidad Nacional de Piura, Piura, Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science Faculty, Universidad Nacional de Piura, Piura, Peru","institution_ids":["https://openalex.org/I4210132058"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113571344","display_name":"Antenor Aliaga","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Antenor Aliaga","raw_affiliation_strings":["Science Faculty, Universidad Nacional de Piura, Piura, Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science Faculty, Universidad Nacional de Piura, Piura, Peru","institution_ids":["https://openalex.org/I4210132058"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011890316","display_name":"Flabio Guti\u00e9rrez","orcid":"https://orcid.org/0000-0003-0372-3864"},"institutions":[{"id":"https://openalex.org/I4210132058","display_name":"Universidad Nacional de Piura","ror":"https://ror.org/031vfrf75","country_code":"PE","type":"education","lineage":["https://openalex.org/I4210132058"]}],"countries":["PE"],"is_corresponding":true,"raw_author_name":"Flabio Gutierrez","raw_affiliation_strings":["Science Faculty, Universidad Nacional de Piura, Piura, Peru"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science Faculty, Universidad Nacional de Piura, Piura, Peru","institution_ids":["https://openalex.org/I4210132058"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011890316"],"corresponding_institution_ids":["https://openalex.org/I4210132058"],"apc_list":null,"apc_paid":null,"fwci":1.2331,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82578875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.8177000284194946,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.8177000284194946,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.7639999985694885,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.7616000175476074,"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/limit-cycle","display_name":"Limit cycle","score":0.7077385783195496},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5313684940338135},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.48107266426086426},{"id":"https://openalex.org/keywords/qualitative-analysis","display_name":"Qualitative analysis","score":0.4611966609954834},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4469708502292633},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4308249354362488},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.42193466424942017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38163742423057556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.362041175365448},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.34123682975769043},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.33826369047164917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20377761125564575},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12200185656547546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09604296088218689},{"id":"https://openalex.org/keywords/qualitative-research","display_name":"Qualitative research","score":0.07488223910331726}],"concepts":[{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.7077385783195496},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5313684940338135},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.48107266426086426},{"id":"https://openalex.org/C3018587665","wikidata":"https://www.wikidata.org/wiki/Q7268696","display_name":"Qualitative analysis","level":3,"score":0.4611966609954834},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4469708502292633},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4308249354362488},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.42193466424942017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38163742423057556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.362041175365448},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.34123682975769043},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.33826369047164917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20377761125564575},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12200185656547546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09604296088218689},{"id":"https://openalex.org/C190248442","wikidata":"https://www.wikidata.org/wiki/Q839486","display_name":"Qualitative research","level":2,"score":0.07488223910331726},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/faia200775","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia200775","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200775","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.3233/faia200775","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia200775","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA200775","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3107102869.pdf","grobid_xml":"https://content.openalex.org/works/W3107102869.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1963830698","https://openalex.org/W1964044133","https://openalex.org/W2103748903","https://openalex.org/W2549622984","https://openalex.org/W2809905573","https://openalex.org/W2910584725","https://openalex.org/W2911030974","https://openalex.org/W2996530518","https://openalex.org/W4206651839","https://openalex.org/W4234258511","https://openalex.org/W4236400424","https://openalex.org/W4292874936"],"related_works":["https://openalex.org/W2115351049","https://openalex.org/W2353430195","https://openalex.org/W178781247","https://openalex.org/W4206634936","https://openalex.org/W2094768441","https://openalex.org/W2001119836","https://openalex.org/W2045360568","https://openalex.org/W2522146511","https://openalex.org/W2393998944","https://openalex.org/W2348523447"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,10,25,38,48,57],"AutonomousSystems4D":[4],"package":[5,34,78,100],"is":[6,35],"presented,":[7],"which":[8],"allows":[9],"qualitative":[11,84],"analysis":[12,85],"of":[13,111],"non-linear":[14],"differential":[15],"equation":[16],"systems":[17],"in":[18,31,37,56],"four":[19],"dimensions,":[20],"as":[21,23],"well":[22],"drawing":[24],"phase":[26,88],"surfaces":[27,89],"by":[28],"immersing":[29],"R4":[30],"R3.":[32],"The":[33,77,99],"programmed":[36],"computational":[39],"tool":[40],"Octave.":[41],"As":[42],"a":[43,65],"case":[44],"study":[45],"applied":[46,103],"to":[47,82,90,104,114],"new":[49],"Lorenz":[50],"4D":[51],"System,":[52],"sensitivity":[53],"was":[54],"found":[55],"initial":[58],"conditions,":[59],"Lyapunov":[60],"exponents,":[61],"Kaplan":[62],"Yorke":[63],"dimension,":[64],"stable":[66],"and":[67,75,86],"unstable":[68],"critical":[69],"point,":[70],"limit":[71],"cycle,":[72],"Hopf":[73],"bifurcation,":[74],"hyperattractors.":[76],"could":[79],"be":[80,102],"adapted":[81],"perform":[83],"visualize":[87],"autonomous":[91],"systems,":[92],"e.g.":[93],"Sprott":[94],"4D,":[95,97],"Rossler":[96],"etc.":[98],"can":[101],"problems":[105],"such":[106],"as:":[107],"design,":[108],"analysis,":[109],"implementation":[110],"electronic":[112],"circuits;":[113],"message":[115],"encryption.":[116]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}