{"id":"https://openalex.org/W3044853423","doi":"https://doi.org/10.1155/2020/8650742","title":"Compressing Phase Space Detects State Changes in Nonlinear Dynamical Systems","display_name":"Compressing Phase Space Detects State Changes in Nonlinear Dynamical Systems","publication_year":2020,"publication_date":"2020-07-22","ids":{"openalex":"https://openalex.org/W3044853423","doi":"https://doi.org/10.1155/2020/8650742","mag":"3044853423"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8650742","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8650742","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8650742.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/8650742.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042624882","display_name":"Valeria d\u2019Andrea","orcid":"https://orcid.org/0000-0001-6147-5374"},"institutions":[{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Valeria d\u2019Andrea","raw_affiliation_strings":["CoMuNe Lab, Fondazione Bruno Kessler, Via Sommarive 18, Povo, Trento 38123, Italy"],"affiliations":[{"raw_affiliation_string":"CoMuNe Lab, Fondazione Bruno Kessler, Via Sommarive 18, Povo, Trento 38123, Italy","institution_ids":["https://openalex.org/I2277624104"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019170728","display_name":"Manlio De Domenico","orcid":"https://orcid.org/0000-0001-5158-8594"},"institutions":[{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Manlio De Domenico","raw_affiliation_strings":["CoMuNe Lab, Fondazione Bruno Kessler, Via Sommarive 18, Povo, Trento 38123, Italy"],"affiliations":[{"raw_affiliation_string":"CoMuNe Lab, Fondazione Bruno Kessler, Via Sommarive 18, Povo, Trento 38123, Italy","institution_ids":["https://openalex.org/I2277624104"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019170728","https://openalex.org/A5042624882"],"corresponding_institution_ids":["https://openalex.org/I2277624104"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09050511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9951000213623047,"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":0.9951000213623047,"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":0.9948999881744385,"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"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6823309063911438},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6641849279403687},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.6362572908401489},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.6253270506858826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6079298257827759},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5768292546272278},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5653512477874756},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.544257402420044},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5166054368019104},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5070350170135498},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.44630900025367737},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.44195619225502014},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4352651834487915},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4181717336177826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36209380626678467},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3204025626182556},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.2845950126647949},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2811390161514282},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18981671333312988},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16897010803222656},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11536350846290588},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11521926522254944},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.10992613434791565}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6823309063911438},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6641849279403687},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.6362572908401489},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6253270506858826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6079298257827759},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5768292546272278},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5653512477874756},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.544257402420044},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5166054368019104},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5070350170135498},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.44630900025367737},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.44195619225502014},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4352651834487915},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4181717336177826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36209380626678467},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3204025626182556},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.2845950126647949},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2811390161514282},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18981671333312988},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16897010803222656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11536350846290588},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11521926522254944},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.10992613434791565},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1155/2020/8650742","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8650742","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8650742.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"mag:3036748946","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2006.12842","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:hin:complx:8650742","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/8650742.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:9d1e69d8fd1f4c0f8a22635f30030fbc","is_oa":true,"landing_page_url":"https://doaj.org/article/9d1e69d8fd1f4c0f8a22635f30030fbc","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/8650742","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8650742","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"},{"id":"pmh:oai:www.research.unipd.it:11577/3412848","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/3412848","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1155/2020/8650742","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8650742","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8650742.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5699999928474426,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3044853423.pdf","grobid_xml":"https://content.openalex.org/works/W3044853423.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1259078","https://openalex.org/W1532729789","https://openalex.org/W1549386224","https://openalex.org/W1970442252","https://openalex.org/W1979957032","https://openalex.org/W1984391316","https://openalex.org/W1988692696","https://openalex.org/W2005097301","https://openalex.org/W2010461070","https://openalex.org/W2011866841","https://openalex.org/W2014683958","https://openalex.org/W2021058801","https://openalex.org/W2021845014","https://openalex.org/W2022537188","https://openalex.org/W2026081694","https://openalex.org/W2029401646","https://openalex.org/W2030308994","https://openalex.org/W2030485012","https://openalex.org/W2031365860","https://openalex.org/W2034099719","https://openalex.org/W2035828879","https://openalex.org/W2036368355","https://openalex.org/W2036682095","https://openalex.org/W2040704490","https://openalex.org/W2051295858","https://openalex.org/W2053173645","https://openalex.org/W2054402839","https://openalex.org/W2056651346","https://openalex.org/W2064220781","https://openalex.org/W2066366061","https://openalex.org/W2071458460","https://openalex.org/W2072998188","https://openalex.org/W2073630396","https://openalex.org/W2077023123","https://openalex.org/W2079567213","https://openalex.org/W2091070998","https://openalex.org/W2098461920","https://openalex.org/W2104848063","https://openalex.org/W2122962290","https://openalex.org/W2127533144","https://openalex.org/W2128957129","https://openalex.org/W2140838501","https://openalex.org/W2152254020","https://openalex.org/W2508832261","https://openalex.org/W2510030309","https://openalex.org/W2582002895","https://openalex.org/W2746272096","https://openalex.org/W2760942449","https://openalex.org/W2963827891","https://openalex.org/W2972656615","https://openalex.org/W3000218158","https://openalex.org/W3099462237","https://openalex.org/W3104078331","https://openalex.org/W3121619209","https://openalex.org/W3144154667","https://openalex.org/W4239340087","https://openalex.org/W4253175466"],"related_works":["https://openalex.org/W1979229270","https://openalex.org/W2374600121","https://openalex.org/W3106969033","https://openalex.org/W125502673","https://openalex.org/W2384948345","https://openalex.org/W2027784897","https://openalex.org/W2973136064","https://openalex.org/W2009385573","https://openalex.org/W1985724481","https://openalex.org/W1990019600"],"abstract_inverted_index":{"Equations":[0],"governing":[1],"the":[2],"nonlinear":[3],"dynamics":[4,62],"of":[5,52,60,66,75],"complex":[6],"systems":[7],"are":[8,14],"usually":[9],"unknown,":[10],"and":[11,30,63,96],"indirect":[12],"methods":[13,29],"used":[15],"to":[16,34],"reconstruct":[17],"their":[18],"manifolds.":[19],"In":[20,37],"turn,":[21],"they":[22],"depend":[23],"on":[24],"embedding":[25],"parameters":[26],"requiring":[27],"other":[28],"long":[31],"temporal":[32],"sequences":[33],"be":[35,47],"accurate.":[36],"this":[38],"paper,":[39],"we":[40],"show":[41],"that":[42],"an":[43],"optimal":[44],"reconstruction":[45],"can":[46],"achieved":[48],"by":[49],"lossless":[50],"compression":[51],"system\u2019s":[53,78],"time":[54],"course,":[55],"providing":[56],"a":[57,64],"self-consistent":[58],"analysis":[59],"its":[61,67],"measure":[65,74],"complexity,":[68],"even":[69],"for":[70],"short":[71],"sequences.":[72],"Our":[73],"complexity":[76],"detects":[77],"state":[79],"changes":[80],"such":[81],"as":[82],"weak":[83],"synchronization":[84],"phenomena,":[85],"characterizing":[86],"many":[87],"systems,":[88],"in":[89],"one":[90],"step,":[91],"integrating":[92],"results":[93],"from":[94],"Lyapunov":[95],"fractal":[97],"analysis.":[98]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}