{"id":"https://openalex.org/W4403182698","doi":"https://doi.org/10.1109/access.2024.3474801","title":"Embedding Classic Chaotic Maps in Simple Discrete-Time Memristor Circuits","display_name":"Embedding Classic Chaotic Maps in Simple Discrete-Time Memristor Circuits","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403182698","doi":"https://doi.org/10.1109/access.2024.3474801"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3474801","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3474801","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3474801","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080374992","display_name":"Mauro Di Marco","orcid":"https://orcid.org/0000-0002-0013-9112"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Mauro Di Marco","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","Department of Information Engineering and Mathematics, University of Siena, via Roma 56, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, via Roma 56, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069809502","display_name":"Mauro Forti","orcid":"https://orcid.org/0000-0002-3970-7201"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Forti","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","Department of Information Engineering and Mathematics, University of Siena, via Roma 56, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, via Roma 56, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003092391","display_name":"Luca Pancioni","orcid":"https://orcid.org/0000-0002-2502-9542"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Pancioni","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","Department of Information Engineering and Mathematics, University of Siena, via Roma 56, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, via Roma 56, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078497169","display_name":"Giacomo Innocenti","orcid":"https://orcid.org/0000-0002-2110-826X"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giacomo Innocenti","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Florence, Italy","Department of Information Engineering, University of Florence, via S. Marta 3, Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Florence, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Department of Information Engineering, University of Florence, via S. Marta 3, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074942219","display_name":"A. Tesi","orcid":"https://orcid.org/0000-0002-0234-5999"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Tesi","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Florence, Italy","Department of Information Engineering, University of Florence, via S. Marta 3, Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Florence, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Department of Information Engineering, University of Florence, via S. Marta 3, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080374992"],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6263,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68905105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"12","issue":null,"first_page":"148216","last_page":"148229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10320","display_name":"Neural Networks and Applications","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.8940495252609253},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7053828239440918},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.7030184864997864},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6282100677490234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5918165445327759},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5714132785797119},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.5196776986122131},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.4509463310241699},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34157606959342957},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3329910635948181},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28971776366233826},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22010579705238342},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.19714239239692688},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1092197597026825},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08719801902770996}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.8940495252609253},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7053828239440918},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7030184864997864},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6282100677490234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5918165445327759},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5714132785797119},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.5196776986122131},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.4509463310241699},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34157606959342957},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3329910635948181},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28971776366233826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22010579705238342},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.19714239239692688},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1092197597026825},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08719801902770996},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/access.2024.3474801","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3474801","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1279560","is_oa":true,"landing_page_url":"https://hdl.handle.net/11365/1279560","pdf_url":"https://usiena-air.unisi.it/bitstream/11365/1279560/2/Embedding_Classic_Chaotic_Maps_in_Simple_Discrete-Time_Memristor_Circuits.pdf","source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:d4b5f19519eb4b69806442e40523b629","is_oa":true,"landing_page_url":"https://doaj.org/article/d4b5f19519eb4b69806442e40523b629","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 148216-148229 (2024)","raw_type":"article"},{"id":"pmh:oai:flore.unifi.it:2158/1400060","is_oa":false,"landing_page_url":"https://hdl.handle.net/2158/1400060","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3474801","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3474801","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6000000238418579,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320313975","display_name":"Universit\u00e0 degli Studi di Siena","ror":"https://ror.org/01tevnk56"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W1514578360","https://openalex.org/W1986811714","https://openalex.org/W2026429700","https://openalex.org/W2036850929","https://openalex.org/W2056475144","https://openalex.org/W2058894160","https://openalex.org/W2061191702","https://openalex.org/W2062124659","https://openalex.org/W2065134213","https://openalex.org/W2066213929","https://openalex.org/W2083633830","https://openalex.org/W2102892532","https://openalex.org/W2112181056","https://openalex.org/W2123501479","https://openalex.org/W2125566231","https://openalex.org/W2141394518","https://openalex.org/W2162651880","https://openalex.org/W2166127999","https://openalex.org/W2246188494","https://openalex.org/W2315149045","https://openalex.org/W2347185331","https://openalex.org/W2503190914","https://openalex.org/W2510211160","https://openalex.org/W2573602455","https://openalex.org/W2605047942","https://openalex.org/W2743455512","https://openalex.org/W2778935320","https://openalex.org/W2890917406","https://openalex.org/W2894137312","https://openalex.org/W2943810070","https://openalex.org/W2991418313","https://openalex.org/W3001881993","https://openalex.org/W3018945530","https://openalex.org/W3023201525","https://openalex.org/W3026892975","https://openalex.org/W3028754834","https://openalex.org/W3081143752","https://openalex.org/W3096021022","https://openalex.org/W3106876302","https://openalex.org/W3112533795","https://openalex.org/W3119717233","https://openalex.org/W3123405445","https://openalex.org/W3165871073","https://openalex.org/W3168397396","https://openalex.org/W3200346077","https://openalex.org/W3207091135","https://openalex.org/W3212508523","https://openalex.org/W4207006543","https://openalex.org/W4210446250","https://openalex.org/W4210995538","https://openalex.org/W4214829631","https://openalex.org/W4221012118","https://openalex.org/W4225904626","https://openalex.org/W4226209174","https://openalex.org/W4235522894","https://openalex.org/W4247151931","https://openalex.org/W4250817277","https://openalex.org/W4281716798","https://openalex.org/W4283377763","https://openalex.org/W4290044422","https://openalex.org/W4304175644","https://openalex.org/W4311950868","https://openalex.org/W4312051583","https://openalex.org/W4312081548","https://openalex.org/W4378176258","https://openalex.org/W4379409311","https://openalex.org/W4380885944","https://openalex.org/W4381251353","https://openalex.org/W4385541278","https://openalex.org/W4385656484","https://openalex.org/W4387859888","https://openalex.org/W4391604801","https://openalex.org/W4399548027"],"related_works":["https://openalex.org/W2000787201","https://openalex.org/W2068371111","https://openalex.org/W2353662484","https://openalex.org/W4396918112","https://openalex.org/W2379159072","https://openalex.org/W1967357715","https://openalex.org/W2362543848","https://openalex.org/W2367947269","https://openalex.org/W3127592998","https://openalex.org/W2355630958"],"abstract_inverted_index":{"In":[0,104,309],"the":[1,5,38,65,76,79,83,106,109,123,140,152,162,183,200,204,210,215,222,225,233,259,270,282,285,295,299],"last":[2],"few":[3],"years":[4],"literature":[6],"has":[7],"witnessed":[8],"a":[9,89,117,148,157,167,242,255,262],"remarkable":[10],"surge":[11],"of":[12,51,58,70,131,182,212,316],"interest":[13,53],"for":[14,34,54,142,179],"maps":[15,39],"implemented":[16,81],"by":[17,82,88,228,288],"discrete-time":[18],"(DT)":[19],"memristor":[20,36,85,95,134,187,244,330],"circuits.":[21,331],"One":[22,174],"main":[23,175],"reason":[24],"is":[25,61,177,273,319],"that":[26,32,122,275],"from":[27],"numerical":[28],"simulations":[29],"it":[30,318],"appears":[31],"even":[33,326],"simple":[35,328],"circuits":[37,135,191,217,253,277],"can":[40,192,218,278],"easily":[41],"display":[42],"complex":[43,71,324],"dynamics,":[44],"including":[45],"chaos":[46],"and":[47,91,99,126,156,186,203,235,247,261,298],"hyperchaos,":[48],"which":[49],"are":[50,136],"relevant":[52],"engineering":[55],"applications.":[56],"Goal":[57],"this":[59,68,74],"manuscript":[60,77,107],"to":[62,120,209,322],"investigate":[63],"on":[64,170,265],"reasons":[66],"underlying":[67],"type":[69],"behavior.":[72],"To":[73],"end,":[75],"considers":[78,241],"map":[80,150,160,169,202,257,264,297],"simplest":[84],"circuit":[86,184,246],"given":[87],"capacitor":[90],"an":[92,97,100,314],"ideal":[93,101],"flux-controlled":[94],"or":[96],"inductor":[98],"charge-controlled":[102],"memristor.":[103],"particular,":[105],"uses":[108],"DT":[110,190,216,243,329],"flux-charge":[111,163],"analysis":[112],"method":[113],"(FCAM)":[114],"introduced":[115],"in":[116,128,139,151,161,221,232,258,269,281,306,327],"recent":[118],"paper":[119,239],"ensure":[121],"first":[124],"integrals":[125],"foliation":[127],"invariant":[129,172,267],"manifolds":[130,223,283],"continuous-time":[132],"(CT)":[133],"preserved":[137],"exactly":[138,193],"discretization":[141],"any":[143],"step":[144],"size.":[145],"DT-FCAM":[146,251],"yields":[147],"two-dimensional":[149,263],"voltage-current":[153],"domain":[154,164],"(VCD)":[155],"manifold-dependent":[158],"one-dimensional":[159,168],"(FCD),":[165],"i.e.,":[166,199,294],"each":[171,266],"manifold.":[173],"result":[176],"that,":[178],"suitable":[180],"choices":[181],"parameters":[185],"nonlinearities,":[188],"both":[189,276],"embed":[194,220,280],"two":[195,289],"classic":[196,291],"chaotic":[197,292],"maps,":[198,293],"logistic":[201,234],"tent":[205,236],"map.":[206,237],"Moreover,":[207],"due":[208],"property":[211],"extreme":[213],"multistability,":[214],"simultaneously":[219,279],"all":[224,284],"dynamics":[226,286,325],"displayed":[227,287],"varying":[229,303],"one":[230,304],"parameter":[231,305],"The":[238],"then":[240],"Murali-Lakshmanan-Chua":[245],"its":[248],"dual.":[249],"Via":[250],"these":[252,311],"implement":[254],"three-dimensional":[256],"VCD":[260],"manifold":[268],"FCD.":[271],"It":[272],"shown":[274],"other":[290],"H\u00e9non":[296],"Lozi":[300],"map,":[301],"when":[302],"such":[307],"maps.":[308],"essence,":[310],"results":[312],"provide":[313],"explanation":[315],"why":[317],"not":[320],"surprising":[321],"observe":[323]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2024-10-08T00:00:00"}
