{"id":"https://openalex.org/W2944702155","doi":"https://doi.org/10.1007/978-3-030-17344-9_8","title":"Complex Dynamics in Basic Two-Component Auto-Oscillation Systems with Fractional Derivatives of Different Orders","display_name":"Complex Dynamics in Basic Two-Component Auto-Oscillation Systems with Fractional Derivatives of Different Orders","publication_year":2019,"publication_date":"2019-04-17","ids":{"openalex":"https://openalex.org/W2944702155","doi":"https://doi.org/10.1007/978-3-030-17344-9_8","mag":"2944702155"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-17344-9_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-17344-9_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5048774825","display_name":"Bohdan Datsko","orcid":"https://orcid.org/0000-0002-9700-669X"},"institutions":[{"id":"https://openalex.org/I111664937","display_name":"Rzesz\u00f3w University of Technology","ror":"https://ror.org/056xse072","country_code":"PL","type":"education","lineage":["https://openalex.org/I111664937"]},{"id":"https://openalex.org/I4210145787","display_name":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics","ror":"https://ror.org/05dry3213","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210145787"]}],"countries":["PL","UA"],"is_corresponding":true,"raw_author_name":"Bohdan Datsko","raw_affiliation_strings":["Institute for Applied Problems of Mechanics and Mathematics, NAS of Ukraine, Lviv, 79060, Ukraine","Rzeszow University of Technology, 35-959, Rzeszow, Poland"],"raw_orcid":"https://orcid.org/0000-0002-9700-669X","affiliations":[{"raw_affiliation_string":"Institute for Applied Problems of Mechanics and Mathematics, NAS of Ukraine, Lviv, 79060, Ukraine","institution_ids":["https://openalex.org/I4210145787"]},{"raw_affiliation_string":"Rzeszow University of Technology, 35-959, Rzeszow, Poland","institution_ids":["https://openalex.org/I111664937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048774825"],"corresponding_institution_ids":["https://openalex.org/I111664937","https://openalex.org/I4210145787"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05175601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"99","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.9951000213623047,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.993399977684021,"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/oscillation","display_name":"Oscillation (cell signaling)","score":0.7525007724761963},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7373523116111755},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6779984831809998},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6640481948852539},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6549696922302246},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6490756869316101},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6335827112197876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5620741248130798},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5093823671340942},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.4924122095108032},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.46280235052108765},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4438297152519226},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44187432527542114},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3950740098953247},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3431001305580139},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2706989645957947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21895840764045715},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07841110229492188},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07289722561836243},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04733848571777344},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04731598496437073}],"concepts":[{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.7525007724761963},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7373523116111755},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6779984831809998},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6640481948852539},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6549696922302246},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6490756869316101},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6335827112197876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5620741248130798},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5093823671340942},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.4924122095108032},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.46280235052108765},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4438297152519226},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44187432527542114},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3950740098953247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3431001305580139},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2706989645957947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21895840764045715},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07841110229492188},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07289722561836243},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04733848571777344},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04731598496437073},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-17344-9_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-17344-9_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W56786142","https://openalex.org/W207094665","https://openalex.org/W582922657","https://openalex.org/W639844463","https://openalex.org/W651347769","https://openalex.org/W1562727027","https://openalex.org/W1584611818","https://openalex.org/W1584724822","https://openalex.org/W1970741096","https://openalex.org/W1975892142","https://openalex.org/W2002062035","https://openalex.org/W2029057284","https://openalex.org/W2034058244","https://openalex.org/W2041135025","https://openalex.org/W2044721397","https://openalex.org/W2058860728","https://openalex.org/W2067896392","https://openalex.org/W2083314770","https://openalex.org/W2086126894","https://openalex.org/W2094187171","https://openalex.org/W2291960678","https://openalex.org/W2338854230","https://openalex.org/W2476959674","https://openalex.org/W2489930379","https://openalex.org/W2786091816","https://openalex.org/W2787959293","https://openalex.org/W2797438349","https://openalex.org/W3014445047","https://openalex.org/W4212878953","https://openalex.org/W4230765294","https://openalex.org/W4249606973"],"related_works":["https://openalex.org/W52595378","https://openalex.org/W3011334989","https://openalex.org/W2157347895","https://openalex.org/W2907088487","https://openalex.org/W2156757264","https://openalex.org/W1780388054","https://openalex.org/W3048266432","https://openalex.org/W71690152","https://openalex.org/W2429002706","https://openalex.org/W2272010806"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}