{"id":"https://openalex.org/W4248726395","doi":"https://doi.org/10.3103/s0146411615070081","title":"Blue sky catastrophe in systems with nonclassical relaxation oscillations","display_name":"Blue sky catastrophe in systems with nonclassical relaxation oscillations","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W4248726395","doi":"https://doi.org/10.3103/s0146411615070081"},"language":"en","primary_location":{"id":"doi:10.3103/s0146411615070081","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411615070081","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"Automatic Control and Computer Sciences","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/A5058060054","display_name":"\u0421. \u0414. \u0413\u043b\u044b\u0437\u0438\u043d","orcid":"https://orcid.org/0000-0002-6403-4061"},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]},{"id":"https://openalex.org/I4210120391","display_name":"Scientific Center of RAS in Chernogolovka","ror":"https://ror.org/02j983531","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210120391","https://openalex.org/I4210160366"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. D. Glyzin","raw_affiliation_strings":["Chernogolovka Scientific Center, Russian Academy of Sciences, ul. Lesnaya 9, Chernogolovka, Moscow oblast, 142432, Russia","Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chernogolovka Scientific Center, Russian Academy of Sciences, ul. Lesnaya 9, Chernogolovka, Moscow oblast, 142432, Russia","institution_ids":["https://openalex.org/I4210120391"]},{"raw_affiliation_string":"Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025918089","display_name":"A. Yu. Kolesov","orcid":null},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. Yu. Kolesov","raw_affiliation_strings":["Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009509912","display_name":"\u041d. \u0425. \u0420\u043e\u0437\u043e\u0432","orcid":"https://orcid.org/0000-0002-9330-549X"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"N. Kh. Rozov","raw_affiliation_strings":["Moscow State University, Moscow, 119991, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State University, Moscow, 119991, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058060054"],"corresponding_institution_ids":["https://openalex.org/I198371094","https://openalex.org/I4210120391"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.46043906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"7","first_page":"525","last_page":"546"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9796000123023987,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9796000123023987,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9682000279426575,"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"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9666000008583069,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6498345136642456},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6358517408370972},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.6004508137702942},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.5832327604293823},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5711615085601807},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5592982769012451},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.5204437375068665},{"id":"https://openalex.org/keywords/catastrophe-theory","display_name":"Catastrophe theory","score":0.4750915765762329},{"id":"https://openalex.org/keywords/sky","display_name":"Sky","score":0.4577246606349945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39434242248535156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3809746205806732},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.33906102180480957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3367041051387787},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27607470750808716},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.11692452430725098},{"id":"https://openalex.org/keywords/astrophysics","display_name":"Astrophysics","score":0.10823658108711243},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09941992163658142},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09095397591590881}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6498345136642456},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6358517408370972},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.6004508137702942},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.5832327604293823},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5711615085601807},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5592982769012451},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.5204437375068665},{"id":"https://openalex.org/C33474566","wikidata":"https://www.wikidata.org/wiki/Q1345659","display_name":"Catastrophe theory","level":2,"score":0.4750915765762329},{"id":"https://openalex.org/C73329638","wikidata":"https://www.wikidata.org/wiki/Q527","display_name":"Sky","level":2,"score":0.4577246606349945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39434242248535156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3809746205806732},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.33906102180480957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3367041051387787},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27607470750808716},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.11692452430725098},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.10823658108711243},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09941992163658142},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09095397591590881},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0146411615070081","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411615070081","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"Automatic Control and Computer Sciences","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":6,"referenced_works":["https://openalex.org/W575067585","https://openalex.org/W1565264866","https://openalex.org/W2043940842","https://openalex.org/W2080644162","https://openalex.org/W2476121101","https://openalex.org/W2909536571"],"related_works":["https://openalex.org/W2010606039","https://openalex.org/W2890492950","https://openalex.org/W3115184012","https://openalex.org/W352136236","https://openalex.org/W1999123830","https://openalex.org/W2042800579","https://openalex.org/W944345475","https://openalex.org/W2045215015","https://openalex.org/W2356323067","https://openalex.org/W2363270381"],"abstract_inverted_index":{"The":[0,45,88],"feasibility":[1],"of":[2,11,16,32,90,93],"the":[3,33,70,91],"well-known":[4],"blue":[5,71],"sky":[6,72],"bifurcation":[7],"in":[8,43,75],"a":[9,64,76,81],"class":[10],"three-dimensional":[12],"singularly":[13],"perturbed":[14],"systems":[15,35],"ordinary":[17],"differential":[18],"equations":[19],"with":[20,52],"one":[21],"fast":[22,66],"and":[23,63],"two":[24],"slow":[25,53],"variables":[26],"is":[27,36,48,96],"studied.":[28],"A":[29],"characteristic":[30],"property":[31],"considered":[34],"that":[37],"so-called":[38],"nonclassical":[39],"relaxation":[40,78],"oscillations":[41,51],"occur":[42],"them.":[44],"same":[46],"name":[47],"used":[49],"for":[50],"components,":[54],"which":[55],"are":[56,86],"asymptotically":[57],"close":[58],"to":[59],"some":[60],"time-discontinuous":[61],"functions":[62],"\u03b4-like":[65],"component.":[67],"Cases":[68],"when":[69],"catastrophe":[73],"results":[74],"stable":[77,82],"cycle":[79],"or":[80],"two-dimensional":[83],"invariant":[84],"torus":[85],"analyzed.":[87],"problem":[89],"appearance":[92],"homoclinic":[94],"structures":[95],"also":[97],"considered.":[98]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
