{"id":"https://openalex.org/W2116546091","doi":"https://doi.org/10.1109/iscas.2011.5938210","title":"On the trade-off between the number of scrolls and the operating frequency of the chaotic attractors","display_name":"On the trade-off between the number of scrolls and the operating frequency of the chaotic attractors","publication_year":2011,"publication_date":"2011-05-01","ids":{"openalex":"https://openalex.org/W2116546091","doi":"https://doi.org/10.1109/iscas.2011.5938210","mag":"2116546091"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2011.5938210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2011.5938210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium of Circuits and Systems (ISCAS)","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/A5032954605","display_name":"C. S\u00e1nchez\u2010L\u00f3pez","orcid":"https://orcid.org/0000-0002-3214-5832"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210104545","display_name":"Instituto de Microelectr\u00f3nica de Sevilla","ror":"https://ror.org/01mqtzm43","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210104545","https://openalex.org/I4210147934","https://openalex.org/I79238269"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. Sanchez-Lopez","raw_affiliation_strings":["IMSE-CNM CSIC, University of Seville, Seville, Spain","Department of Electronics, UAT, IMSE-CNM CSIC, Apizaco-M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMSE-CNM CSIC, University of Seville, Seville, Spain","institution_ids":["https://openalex.org/I4210104545","https://openalex.org/I79238269"]},{"raw_affiliation_string":"Department of Electronics, UAT, IMSE-CNM CSIC, Apizaco-M\u00e9xico","institution_ids":["https://openalex.org/I134820265"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029391974","display_name":"Jes\u00fas M. Mu\u00f1oz\u2010Pacheco","orcid":"https://orcid.org/0000-0002-9106-6982"},"institutions":[{"id":"https://openalex.org/I4210125856","display_name":"Universidad Polit\u00e9cnica de Puebla","ror":"https://ror.org/02a3pzh97","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210125856"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J.M. Munoz-Pacheco","raw_affiliation_strings":["Department of Electronics, UPPUE, Puebla, Mexico","Department of Electronics, UPPUE, Puebla, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, UPPUE, Puebla, Mexico","institution_ids":["https://openalex.org/I4210125856"]},{"raw_affiliation_string":"Department of Electronics, UPPUE, Puebla, M\u00e9xico","institution_ids":["https://openalex.org/I4210125856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063933849","display_name":"Esteban Tlelo\u2010Cuautle","orcid":"https://orcid.org/0000-0001-7187-4686"},"institutions":[{"id":"https://openalex.org/I39824353","display_name":"National Institute of Astrophysics, Optics and Electronics","ror":"https://ror.org/00bpmmc63","country_code":"MX","type":"facility","lineage":["https://openalex.org/I39824353"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"E. Tlelo-Cuautle","raw_affiliation_strings":["Department of Electronics, INAOE, Puebla, Mexico","Department of Electronics, INAOE, Puebla, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, INAOE, Puebla, Mexico","institution_ids":["https://openalex.org/I39824353"]},{"raw_affiliation_string":"Department of Electronics, INAOE, Puebla, M\u00e9xico","institution_ids":["https://openalex.org/I39824353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029255577","display_name":"Victor H. Carbajal-Gomez","orcid":"https://orcid.org/0000-0003-4322-7873"},"institutions":[{"id":"https://openalex.org/I39824353","display_name":"National Institute of Astrophysics, Optics and Electronics","ror":"https://ror.org/00bpmmc63","country_code":"MX","type":"facility","lineage":["https://openalex.org/I39824353"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"V.H. Carbajal-Gomez","raw_affiliation_strings":["Department of Electronics, INAOE, Puebla, Mexico","Department of Electronics, INAOE, Puebla, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, INAOE, Puebla, Mexico","institution_ids":["https://openalex.org/I39824353"]},{"raw_affiliation_string":"Department of Electronics, INAOE, Puebla, M\u00e9xico","institution_ids":["https://openalex.org/I39824353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015409072","display_name":"R. Trejo\u2010Guerra","orcid":null},"institutions":[{"id":"https://openalex.org/I39824353","display_name":"National Institute of Astrophysics, Optics and Electronics","ror":"https://ror.org/00bpmmc63","country_code":"MX","type":"facility","lineage":["https://openalex.org/I39824353"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"R. Trejo-Guerra","raw_affiliation_strings":["Department of Electronics, INAOE, Puebla, Mexico","Department of Electronics, INAOE, Puebla, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, INAOE, Puebla, Mexico","institution_ids":["https://openalex.org/I39824353"]},{"raw_affiliation_string":"Department of Electronics, INAOE, Puebla, M\u00e9xico","institution_ids":["https://openalex.org/I39824353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.827,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90951841,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":null,"first_page":"2950","last_page":"2953"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.998199999332428,"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":0.998199999332428,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9916999936103821,"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/chaotic","display_name":"Chaotic","score":0.7597713470458984},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7237890362739563},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7076548933982849},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7039216756820679},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5854803323745728},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5598078370094299},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44175979495048523},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4395669102668762},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.41818147897720337},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34592217206954956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33917751908302307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29434847831726074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14878353476524353},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11167928576469421},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09822818636894226},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08184757828712463}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7597713470458984},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7237890362739563},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7076548933982849},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7039216756820679},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5854803323745728},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5598078370094299},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44175979495048523},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4395669102668762},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.41818147897720337},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34592217206954956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33917751908302307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29434847831726074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14878353476524353},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11167928576469421},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09822818636894226},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08184757828712463},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iscas.2011.5938210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2011.5938210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium of Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},{"id":"pmh:oai:digital.csic.es:10261/84282","is_oa":false,"landing_page_url":"http://hdl.handle.net/10261/84282","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Comunicaci\u00f3n de congreso"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1862881297","https://openalex.org/W1970841109","https://openalex.org/W1971961238","https://openalex.org/W1976791164","https://openalex.org/W1994466597","https://openalex.org/W2066910975","https://openalex.org/W2099047812","https://openalex.org/W2099283190","https://openalex.org/W2122076389","https://openalex.org/W2124970715","https://openalex.org/W2125436391","https://openalex.org/W2152532612"],"related_works":["https://openalex.org/W2379488025","https://openalex.org/W2318462079","https://openalex.org/W2585728124","https://openalex.org/W2340294931","https://openalex.org/W2169362996","https://openalex.org/W2565482338","https://openalex.org/W2082884906","https://openalex.org/W2377705019","https://openalex.org/W2001163940","https://openalex.org/W2802455359"],"abstract_inverted_index":{"A":[0],"trade-off":[1,54],"analysis":[2],"on":[3,69,105],"the":[4,9,26,35,38,53,56,61,70,73,77,88,106],"number":[5,57,108],"of":[6,37,58,76,90,109],"scrolls":[7,59,110],"and":[8,25,60,102],"operating":[10,27,62,74],"frequency":[11,28,63,75,118],"is":[12,64,119],"presented.":[13],"To":[14],"do":[15],"so,":[16],"nonlinear":[17,40,78],"system":[18],"parameters,":[19],"real":[20],"physical":[21],"active":[22],"device":[23],"parameters":[24],"are":[29,84,95],"taken":[30],"into":[31],"account":[32],"to":[33],"model":[34],"behavior":[36,71],"saturated":[39],"function":[41],"series":[42],"approximated":[43],"by":[44],"a":[45,49,103,116],"piecewise-linear":[46],"description.":[47],"As":[48],"consequence,":[50],"not":[51],"only":[52],"between":[55],"investigated,":[65],"which":[66],"depends":[67],"directly":[68],"at":[72],"function,":[79],"but":[80],"also":[81,120],"chaotic":[82],"attractors":[83],"efficiently":[85],"synthesized":[86,114],"without":[87],"application":[89],"scaling":[91],"techniques.":[92],"Theoretical":[93],"calculations":[94],"in":[96],"good":[97],"agreement":[98],"with":[99],"numerical":[100],"simulations":[101],"prediction":[104],"maximum":[107],"that":[111],"can":[112],"be":[113],"for":[115],"particular":[117],"given.":[121]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}