{"id":"https://openalex.org/W2801748458","doi":"https://doi.org/10.1109/iscas.2018.8351549","title":"On the Existence of the Double Scroll Attractor for the Chua's Circuit with a Smooth Nonlinearity","display_name":"On the Existence of the Double Scroll Attractor for the Chua's Circuit with a Smooth Nonlinearity","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2801748458","doi":"https://doi.org/10.1109/iscas.2018.8351549","mag":"2801748458"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2018.8351549","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2018.8351549","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5037161015","display_name":"Zbigniew Galias","orcid":"https://orcid.org/0000-0001-7253-7075"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Zbigniew Galias","raw_affiliation_strings":["Department of Electrical Engineering al, AGH University of Science and Technology, Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering al, AGH University of Science and Technology, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028372442","display_name":"Warwick Tucker","orcid":"https://orcid.org/0000-0001-9888-944X"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Warwick Tucker","raw_affiliation_strings":["Department of Mathematics Box 480, Uppsala University, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Box 480, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05744623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"76","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9991000294685364,"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":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.9698079824447632},{"id":"https://openalex.org/keywords/scroll","display_name":"Scroll","score":0.8574684858322144},{"id":"https://openalex.org/keywords/chuas-circuit","display_name":"Chua's circuit","score":0.8466223478317261},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.6450046300888062},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6301214098930359},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4575255811214447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45465683937072754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.451803594827652},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.435352623462677},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4248253405094147},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4017712473869324},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3326911926269531},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29851073026657104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16037285327911377},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13101601600646973},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.08031320571899414},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05338135361671448}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9698079824447632},{"id":"https://openalex.org/C2781324535","wikidata":"https://www.wikidata.org/wiki/Q720106","display_name":"Scroll","level":2,"score":0.8574684858322144},{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.8466223478317261},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.6450046300888062},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6301214098930359},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4575255811214447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45465683937072754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.451803594827652},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.435352623462677},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4248253405094147},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4017712473869324},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3326911926269531},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29851073026657104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16037285327911377},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13101601600646973},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.08031320571899414},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05338135361671448},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2018.8351549","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2018.8351549","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W53809769","https://openalex.org/W1599681710","https://openalex.org/W1966278929","https://openalex.org/W1982980438","https://openalex.org/W2016367480","https://openalex.org/W2019398782","https://openalex.org/W2022435117","https://openalex.org/W2032952635","https://openalex.org/W2033373083","https://openalex.org/W2036481584","https://openalex.org/W2058655750","https://openalex.org/W2094114128","https://openalex.org/W2105534740","https://openalex.org/W2112799776","https://openalex.org/W2169982364","https://openalex.org/W2171987742","https://openalex.org/W2279430548","https://openalex.org/W2552945737","https://openalex.org/W2745197102","https://openalex.org/W4205643877","https://openalex.org/W6742710439"],"related_works":["https://openalex.org/W2152575619","https://openalex.org/W2034480496","https://openalex.org/W2133096299","https://openalex.org/W2377537438","https://openalex.org/W2303440239","https://openalex.org/W1995550449","https://openalex.org/W2162784669","https://openalex.org/W2020717343","https://openalex.org/W1495775186","https://openalex.org/W1967582152"],"abstract_inverted_index":{"In":[0,40,77],"simulations":[1],"of":[2,64,74,85,95,108],"the":[3,16,31,49,62,75,106,113,118],"Chua's":[4,119],"circuit":[5,120],"with":[6,121],"a":[7,72,80,109,122],"smooth":[8],"nonlinearity":[9],"for":[10,117],"certain":[11],"parameter":[12],"values":[13],"one":[14],"observes":[15],"double":[17,114],"scroll":[18,115],"attractor.":[19],"This":[20,58,100],"attractor":[21,32,51,116],"contains":[22],"an":[23,91],"unstable":[24,92],"equilibrium,":[25],"and":[26],"typical":[27],"trajectories":[28,47,65,86],"belonging":[29],"to":[30,37,45,61,82,90,104],"may":[33],"pass":[34],"arbitrarily":[35,68,88],"close":[36,89],"this":[38,78],"equilibrium.":[39,76],"consequence,":[41],"it":[42],"is":[43,59,98,102],"impossible":[44],"compute":[46],"over":[48],"whole":[50],"using":[52],"standard":[53],"rigorous":[54],"numerical":[55],"integration":[56],"procedures.":[57],"due":[60],"existence":[63,107],"which":[66],"spend":[67],"long":[69],"time":[70],"in":[71],"neighborhood":[73],"work,":[79],"method":[81,101],"find":[83],"enclosures":[84],"passing":[87],"fixed":[93],"point":[94],"spiral":[96],"type":[97],"presented.":[99],"used":[103],"prove":[105],"trapping":[110],"region":[111],"enclosing":[112],"cubic":[123],"nonlinearity.":[124]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}