{"id":"https://openalex.org/W33146676","doi":"https://doi.org/10.1007/978-3-540-75187-8_15","title":"Studying the Stability of the Second Order Non-autonomous Hamiltonian System","display_name":"Studying the Stability of the Second Order Non-autonomous Hamiltonian System","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W33146676","doi":"https://doi.org/10.1007/978-3-540-75187-8_15","mag":"33146676"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-75187-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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 Computer Science","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/A5012560974","display_name":"E. A. Grebenikov","orcid":null},"institutions":[{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Evgenii A. Grebenikov","raw_affiliation_strings":["Dorodnicyn Computing Center of RAS, Vavilova str. 40, 119991 Moscow, Russia","Dorodnicyn Computing Center of RAS, Moscow, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Dorodnicyn Computing Center of RAS, Vavilova str. 40, 119991 Moscow, Russia","institution_ids":["https://openalex.org/I2801535751","https://openalex.org/I4210143490"]},{"raw_affiliation_string":"Dorodnicyn Computing Center of RAS, Moscow, Russia#TAB#","institution_ids":["https://openalex.org/I2801535751","https://openalex.org/I4210143490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012953522","display_name":"Ersain V. Ikhsanov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ersain V. Ikhsanov","raw_affiliation_strings":["Engineer-Humane Institute, Atyrau, Kazakhstan","Engineer-Humane Institute, Atyrau, Kazakhstan#TAB#"],"affiliations":[{"raw_affiliation_string":"Engineer-Humane Institute, Atyrau, Kazakhstan","institution_ids":[]},{"raw_affiliation_string":"Engineer-Humane Institute, Atyrau, Kazakhstan#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069166071","display_name":"A. N. Prokopenya","orcid":"https://orcid.org/0000-0001-9760-5185"},"institutions":[{"id":"https://openalex.org/I157264004","display_name":"Brest State Technical University","ror":"https://ror.org/007rxxd52","country_code":"BY","type":"education","lineage":["https://openalex.org/I157264004"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Alexander N. Prokopenya","raw_affiliation_strings":["Brest State Technical University, Moskowskaya str. 267, 224017 Brest, Belarus","Brest State Technical University, Brest , Belarus"],"affiliations":[{"raw_affiliation_string":"Brest State Technical University, Moskowskaya str. 267, 224017 Brest, Belarus","institution_ids":["https://openalex.org/I157264004"]},{"raw_affiliation_string":"Brest State Technical University, Brest , Belarus","institution_ids":["https://openalex.org/I157264004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012560974"],"corresponding_institution_ids":["https://openalex.org/I2801535751","https://openalex.org/I4210143490"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.01066098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"181","last_page":"194"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9652000069618225,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9652000069618225,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9634000062942505,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9603000283241272,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.7008132338523865},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.6460596919059753},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5888789892196655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5867094993591309},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5632789731025696},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5470969080924988},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4780338704586029},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4709737300872803},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31387758255004883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.287465363740921},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1515597403049469},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1451091170310974},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10159039497375488}],"concepts":[{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.7008132338523865},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.6460596919059753},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5888789892196655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5867094993591309},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5632789731025696},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5470969080924988},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4780338704586029},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4709737300872803},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31387758255004883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.287465363740921},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1515597403049469},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1451091170310974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10159039497375488},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-75187-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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 Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W326473587","https://openalex.org/W1484599239","https://openalex.org/W2044918558","https://openalex.org/W2058622906","https://openalex.org/W4385100362"],"related_works":["https://openalex.org/W171076485","https://openalex.org/W190919245","https://openalex.org/W2188428054","https://openalex.org/W2076597547","https://openalex.org/W2133396672","https://openalex.org/W2032816783","https://openalex.org/W4245291382","https://openalex.org/W2007616296","https://openalex.org/W2485420135","https://openalex.org/W2043959303"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}