{"id":"https://openalex.org/W2053595683","doi":"https://doi.org/10.1142/s0218127400000578","title":"ROBUSTNESS OF SYMBOLIC DYNAMICS AND SYNCHRONIZATION PROPERTIES","display_name":"ROBUSTNESS OF SYMBOLIC DYNAMICS AND SYNCHRONIZATION PROPERTIES","publication_year":2000,"publication_date":"2000-04-01","ids":{"openalex":"https://openalex.org/W2053595683","doi":"https://doi.org/10.1142/s0218127400000578","mag":"2053595683"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127400000578","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127400000578","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-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,  University of Mining and Metallurgy, al. Mickiewicza 30, 30\u2013059  Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering,  University of Mining and Metallurgy, al. Mickiewicza 30, 30\u2013059  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":0.14161567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"04","first_page":"811","last_page":"818"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9972000122070312,"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":0.9972000122070312,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9803000092506409,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9674999713897705,"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/symbolic-dynamics","display_name":"Symbolic dynamics","score":0.8915202617645264},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6996949911117554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6078000068664551},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5974345207214355},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5699508190155029},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.5397405028343201},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4780203104019165},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.47487446665763855},{"id":"https://openalex.org/keywords/symbolic-data-analysis","display_name":"Symbolic data analysis","score":0.4401536285877228},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.43814510107040405},{"id":"https://openalex.org/keywords/coupling-strength","display_name":"Coupling strength","score":0.41851192712783813},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3948802947998047},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3515225648880005},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3274800777435303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32319462299346924},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15449067950248718},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1411411464214325},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10915979743003845}],"concepts":[{"id":"https://openalex.org/C16101541","wikidata":"https://www.wikidata.org/wiki/Q1350838","display_name":"Symbolic dynamics","level":2,"score":0.8915202617645264},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6996949911117554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6078000068664551},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5974345207214355},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5699508190155029},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.5397405028343201},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4780203104019165},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.47487446665763855},{"id":"https://openalex.org/C65620979","wikidata":"https://www.wikidata.org/wiki/Q7661176","display_name":"Symbolic data analysis","level":2,"score":0.4401536285877228},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.43814510107040405},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.41851192712783813},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3948802947998047},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3515225648880005},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3274800777435303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32319462299346924},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15449067950248718},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1411411464214325},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10915979743003845},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127400000578","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127400000578","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1966278929","https://openalex.org/W1970442252","https://openalex.org/W2028904030","https://openalex.org/W2033530882","https://openalex.org/W2082172869","https://openalex.org/W2083505163","https://openalex.org/W2094425217","https://openalex.org/W2125566231"],"related_works":["https://openalex.org/W2233004746","https://openalex.org/W2154431421","https://openalex.org/W2068371111","https://openalex.org/W2353662484","https://openalex.org/W4321068324","https://openalex.org/W1915631177","https://openalex.org/W2171620424","https://openalex.org/W2352663508","https://openalex.org/W2105169165","https://openalex.org/W2379159072"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,45,54,76],"introduce":[4],"the":[5,20,37,63,67,78,85],"method":[6],"for":[7,30,61,83],"investigation":[8],"of":[9,80],"coupled":[10,32,47,73],"chaotic":[11],"systems":[12,38],"using":[13],"topological":[14],"methods.":[15],"We":[16],"show":[17],"that":[18],"if":[19],"coupling":[21,81],"is":[22,70],"small":[23],"then":[24],"there":[25],"exists":[26],"independent":[27],"symbolic":[28,64,86],"dynamics":[29,65,87],"every":[31,89],"subsystem":[33,90],"and":[34,58],"in":[35,66,88],"consequence":[36],"are":[39],"not":[40],"synchronized.":[41],"As":[42],"an":[43],"example":[44],"consider":[46],"H\u00e9non":[48,68,74],"maps.":[49],"Using":[50],"computer":[51],"interval":[52],"arithmetic":[53],"find":[55],"parameter":[56],"mismatch":[57],"perturbation":[59],"range":[60],"which":[62,84],"system":[69],"sustained.":[71],"For":[72],"maps":[75],"compute":[77],"value":[79],"strength":[82],"survives.":[91]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}