{"id":"https://openalex.org/W2914185747","doi":"https://doi.org/10.1109/icecs.2018.8617973","title":"Computation of Topological Entropy of Finite Representations of Maps","display_name":"Computation of Topological Entropy of Finite Representations of Maps","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2914185747","doi":"https://doi.org/10.1109/icecs.2018.8617973","mag":"2914185747"},"language":"en","primary_location":{"id":"doi:10.1109/icecs.2018.8617973","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2018.8617973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 25th IEEE International Conference on Electronics, Circuits and Systems (ICECS)","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/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":true,"raw_author_name":"Zbigniew Galias","raw_affiliation_strings":["Department of Electrical Engineering, AGH University of Science and Technology, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, AGH University of Science and Technology, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037161015"],"corresponding_institution_ids":["https://openalex.org/I686019"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26386269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"533","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9776999950408936,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9448999762535095,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-entropy","display_name":"Topological entropy","score":0.8261221647262573},{"id":"https://openalex.org/keywords/topological-entropy-in-physics","display_name":"Topological entropy in physics","score":0.7762168645858765},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5912653803825378},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5889253616333008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5148972272872925},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43056467175483704},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3544612228870392},{"id":"https://openalex.org/keywords/topological-quantum-number","display_name":"Topological quantum number","score":0.25890547037124634},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2082163393497467},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20072275400161743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13129651546478271},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05957964062690735}],"concepts":[{"id":"https://openalex.org/C2780350623","wikidata":"https://www.wikidata.org/wiki/Q3055355","display_name":"Topological entropy","level":2,"score":0.8261221647262573},{"id":"https://openalex.org/C148908050","wikidata":"https://www.wikidata.org/wiki/Q11681505","display_name":"Topological entropy in physics","level":3,"score":0.7762168645858765},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5912653803825378},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5889253616333008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5148972272872925},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43056467175483704},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3544612228870392},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.25890547037124634},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2082163393497467},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20072275400161743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13129651546478271},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05957964062690735}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icecs.2018.8617973","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2018.8617973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 25th IEEE International Conference on Electronics, Circuits and Systems (ICECS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1968975267","https://openalex.org/W1977159913","https://openalex.org/W2016367480","https://openalex.org/W2018026202","https://openalex.org/W2039640341","https://openalex.org/W2084705248","https://openalex.org/W2104095651","https://openalex.org/W2125566231","https://openalex.org/W2384141716","https://openalex.org/W2549332135","https://openalex.org/W2784262062","https://openalex.org/W2798909945","https://openalex.org/W4213022453","https://openalex.org/W4312258136","https://openalex.org/W6729508471"],"related_works":["https://openalex.org/W2230576172","https://openalex.org/W4299350475","https://openalex.org/W4399591732","https://openalex.org/W4281980887","https://openalex.org/W2129584172","https://openalex.org/W3043893990","https://openalex.org/W3045288655","https://openalex.org/W4394857473","https://openalex.org/W2592613204","https://openalex.org/W2926376201"],"abstract_inverted_index":{"Efficient":[0],"methods":[1,16],"to":[2],"compute":[3],"values":[4,36,56],"of":[5,8,11,29,37,41,51,57,60],"topological":[6,39,49,58],"entropy":[7,40,50,59],"finite":[9,27,62],"representations":[10,28,43,63],"maps":[12],"are":[13,17,33,44,64],"presented.":[14],"Computational":[15],"illustrated":[18],"using":[19],"the":[20,30,38,48,52],"H\u00e9non":[21,31,53],"map":[22,32,54],"as":[23],"an":[24],"example.":[25],"Accurate":[26],"constructed":[34],"and":[35,55],"these":[42],"calculated.":[45],"Relations":[46],"between":[47],"its":[61],"discussed.":[65]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}