{"id":"https://openalex.org/W168022324","doi":"https://doi.org/10.3217/jucs-004-02-0193","title":"Numerical Verification Method of Existence of Connecting Orbits for Continuous Dynamical Systems","display_name":"Numerical Verification Method of Existence of Connecting Orbits for Continuous Dynamical Systems","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W168022324","doi":"https://doi.org/10.3217/jucs-004-02-0193","mag":"168022324"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:6995522","is_oa":true,"landing_page_url":"https://zenodo.org/record/6995522","pdf_url":"https://zenodo.org/record/6995522","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JUCS - Journal of Universal Computer Science 4((2)) 193-201","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/6995522","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063201472","display_name":"Shin\u2019ichi Oishi","orcid":"https://orcid.org/0000-0002-6582-265X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shin'ichi Oishi","raw_affiliation_strings":["School of Fundamental Science and Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Fundamental Science and Engineering","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5063201472"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6991,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.92434597,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9825999736785889,"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"}},"topics":[{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9825999736785889,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9764000177383423,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.972000002861023,"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/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5413939356803894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5267146229743958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3216543197631836},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2043963372707367}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5413939356803894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5267146229743958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3216543197631836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2043963372707367},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:zenodo.org:6995522","is_oa":true,"landing_page_url":"https://zenodo.org/record/6995522","pdf_url":"https://zenodo.org/record/6995522","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JUCS - Journal of Universal Computer Science 4((2)) 193-201","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.3217/jucs-004-02-0193","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-004-02-0193","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"DataPaper"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:6995522","is_oa":true,"landing_page_url":"https://zenodo.org/record/6995522","pdf_url":"https://zenodo.org/record/6995522","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JUCS - Journal of Universal Computer Science 4((2)) 193-201","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W168022324.pdf","grobid_xml":"https://content.openalex.org/works/W168022324.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,29],"numerical":[4],"method":[5],"is":[6,46],"presented":[7],"for":[8],"proving":[9],"the":[10,40,49],"existence":[11,41],"and":[12],"inclusion":[13],"of":[14,17,42],"connecting":[15],"orbits":[16],"continuous":[18],"dynamical":[19],"systems":[20],"described":[21],"by":[22,48],"parameterized":[23],"nonlinear":[24,33],"ordinary":[25,34],"differential":[26,35],"equations.":[27],"Taking":[28],"certain":[30],"second":[31],"order":[32],"equaiton":[36],"as":[37],"an":[38],"example,":[39],"homoclinic":[43],"bifurcation":[44],"points":[45],"proved":[47],"method.":[50]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}