{"id":"https://openalex.org/W2012185489","doi":"https://doi.org/10.1134/1.1262362","title":"Trajectory tracing \u2014 a new method of studying the evolution of states of dynamic systems","display_name":"Trajectory tracing \u2014 a new method of studying the evolution of states of dynamic systems","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2012185489","doi":"https://doi.org/10.1134/1.1262362","mag":"2012185489"},"language":"en","primary_location":{"id":"doi:10.1134/1.1262362","doi":"https://doi.org/10.1134/1.1262362","is_oa":false,"landing_page_url":"https://doi.org/10.1134/1.1262362","pdf_url":null,"source":{"id":"https://openalex.org/S158301738","display_name":"Technical Physics Letters","issn_l":"1063-7850","issn":["1063-7850","1090-6533"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-b","jufo-1","norway-1","poland-70"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technical Physics Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5111656887","display_name":"Peter N. Gorley","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130701412","display_name":"Yuriy Fedkovych Chernivtsi National University","ror":"https://ror.org/044n25186","country_code":"UA","type":"education","lineage":["https://openalex.org/I130701412"]},{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I75705878","display_name":"Institute of Physics","ror":"https://ror.org/02we6hx96","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I75705878"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"P. N. Gorley","raw_affiliation_strings":["Chernovtsy State University, Chernovtsy","Institute of Physics, National Academy of Sciences of the Ukraine, Kiev"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chernovtsy State University, Chernovtsy","institution_ids":["https://openalex.org/I130701412"]},{"raw_affiliation_string":"Institute of Physics, National Academy of Sciences of the Ukraine, Kiev","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I75705878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110567629","display_name":"Paul P Horley","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130701412","display_name":"Yuriy Fedkovych Chernivtsi National University","ror":"https://ror.org/044n25186","country_code":"UA","type":"education","lineage":["https://openalex.org/I130701412"]},{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I75705878","display_name":"Institute of Physics","ror":"https://ror.org/02we6hx96","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I75705878"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"P. P. Horley","raw_affiliation_strings":["Chernovtsy State University, Chernovtsy","Institute of Physics, National Academy of Sciences of the Ukraine, Kiev"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chernovtsy State University, Chernovtsy","institution_ids":["https://openalex.org/I130701412"]},{"raw_affiliation_string":"Institute of Physics, National Academy of Sciences of the Ukraine, Kiev","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I75705878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111540404","display_name":"Piotr M. Tomchuk","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130701412","display_name":"Yuriy Fedkovych Chernivtsi National University","ror":"https://ror.org/044n25186","country_code":"UA","type":"education","lineage":["https://openalex.org/I130701412"]},{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I75705878","display_name":"Institute of Physics","ror":"https://ror.org/02we6hx96","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I75705878"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"P. M. Tomchuk","raw_affiliation_strings":["Chernovtsy State University, Chernovtsy","Institute of Physics, National Academy of Sciences of the Ukraine, Kiev"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chernovtsy State University, Chernovtsy","institution_ids":["https://openalex.org/I130701412"]},{"raw_affiliation_string":"Institute of Physics, National Academy of Sciences of the Ukraine, Kiev","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I75705878"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"25","issue":"1","first_page":"7","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.8076000213623047,"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":0.8076000213623047,"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":0.13819999992847443,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.024000000208616257,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trajectory-tracing","display_name":"trajectory tracing","score":0.9959999918937683},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"period-doubling bifurcation","score":0.8059999942779541},{"id":"https://openalex.org/keywords/dynamical-systems","display_name":"dynamical systems","score":0.8220000267028809},{"id":"https://openalex.org/keywords/phase-space","display_name":"phase space","score":0.7440000176429749},{"id":"https://openalex.org/keywords/state-evolution","display_name":"state evolution","score":0.8330000042915344},{"id":"https://openalex.org/keywords/bifurcation-detection","display_name":"bifurcation detection","score":0.7929999828338623}],"concepts":[{"id":"https://openalex.org/C138673069","wikidata":"https://www.wikidata.org/wiki/Q322229","display_name":"Tracing","level":2,"score":0.8400114178657532},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.8088827729225159},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.589526891708374},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5566135048866272},{"id":"https://openalex.org/C121483023","wikidata":"https://www.wikidata.org/wiki/Q7298343","display_name":"Ray tracing (physics)","level":2,"score":0.49150121212005615},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.48910361528396606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19415238499641418},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08178368210792542},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/1.1262362","doi":"https://doi.org/10.1134/1.1262362","is_oa":false,"landing_page_url":"https://doi.org/10.1134/1.1262362","pdf_url":null,"source":{"id":"https://openalex.org/S158301738","display_name":"Technical Physics Letters","issn_l":"1063-7850","issn":["1063-7850","1090-6533"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-b","jufo-1","norway-1","poland-70"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technical Physics Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1496798092","https://openalex.org/W1584724822","https://openalex.org/W2008476021","https://openalex.org/W2568392743","https://openalex.org/W2588215197","https://openalex.org/W2990598036","https://openalex.org/W4252439913"],"related_works":["https://openalex.org/W7096093099","https://openalex.org/W2896391910","https://openalex.org/W2083519402","https://openalex.org/W2089542300","https://openalex.org/W2593261676","https://openalex.org/W2526806908","https://openalex.org/W7036504325","https://openalex.org/W24987721","https://openalex.org/W2021151660","https://openalex.org/W3111466082"],"abstract_inverted_index":{"A":[0],"rapid":[1],"method":[2],"of":[3,15,26,29],"trajectory":[4],"tracing":[5],"is":[6],"proposedand":[7],"described,":[8],"which":[9],"can":[10],"clearly":[11],"determine":[12],"the":[13,24,27],"points":[14],"period":[16],"doubling":[17],"bifurcations":[18],"and":[19],"provide":[20],"clear":[21],"information":[22],"on":[23],"transformation":[25],"states":[28],"a":[30],"system":[31],"in":[32],"phase":[33],"space.":[34]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
