{"id":"https://openalex.org/W2076831813","doi":"https://doi.org/10.1137/s1064827598344868","title":"Computing Connecting Orbits via an Improved Algorithm for Continuing Invariant Subspaces","display_name":"Computing Connecting Orbits via an Improved Algorithm for Continuing Invariant Subspaces","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2076831813","doi":"https://doi.org/10.1137/s1064827598344868","mag":"2076831813"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827598344868","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598344868","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5076825233","display_name":"James Demmel","orcid":"https://orcid.org/0000-0003-1145-3745"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. W. Demmel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076407367","display_name":"Luca Dieci","orcid":"https://orcid.org/0000-0002-3618-9293"},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Dieci","raw_affiliation_strings":["University of Alabama in Huntsville"],"affiliations":[{"raw_affiliation_string":"University of Alabama in Huntsville","institution_ids":["https://openalex.org/I82495205"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111549925","display_name":"Mark J. Friedman","orcid":null},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. J. Friedman","raw_affiliation_strings":["University of Alabama in Huntsville"],"affiliations":[{"raw_affiliation_string":"University of Alabama in Huntsville","institution_ids":["https://openalex.org/I82495205"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076825233"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9818,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.94284251,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"22","issue":"1","first_page":"81","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.993399977684021,"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"}},"topics":[{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.993399977684021,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9908000230789185,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9901000261306763,"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/linear-subspace","display_name":"Linear subspace","score":0.8454030156135559},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.8133175373077393},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7033497095108032},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6841616034507751},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6395065784454346},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5022156238555908},{"id":"https://openalex.org/keywords/numerical-continuation","display_name":"Numerical continuation","score":0.44686195254325867},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24029430747032166},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.20798343420028687},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17065954208374023}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8454030156135559},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.8133175373077393},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7033497095108032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6841616034507751},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6395065784454346},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5022156238555908},{"id":"https://openalex.org/C2775978667","wikidata":"https://www.wikidata.org/wiki/Q7069654","display_name":"Numerical continuation","level":4,"score":0.44686195254325867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24029430747032166},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.20798343420028687},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17065954208374023},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":2,"locations":[{"id":"doi:10.1137/s1064827598344868","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598344868","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.123.1700","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.123.1700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ultra.uah.edu/~friedman/httpd/html/publications/34486.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1492579554","https://openalex.org/W1532361234","https://openalex.org/W1877848529","https://openalex.org/W1966278241","https://openalex.org/W1971808848","https://openalex.org/W1975721804","https://openalex.org/W2005851142","https://openalex.org/W2014042806","https://openalex.org/W2023605401","https://openalex.org/W2028296976","https://openalex.org/W2091534537","https://openalex.org/W2129035706","https://openalex.org/W2798909945","https://openalex.org/W3102714580"],"related_works":["https://openalex.org/W4211126889","https://openalex.org/W2157438237","https://openalex.org/W1544922403","https://openalex.org/W2129035706","https://openalex.org/W199152360","https://openalex.org/W2086511531","https://openalex.org/W1989359361","https://openalex.org/W2141998487","https://openalex.org/W2138017417","https://openalex.org/W1977441477"],"abstract_inverted_index":{"A":[0],"successive":[1],"continuation":[2,44],"method":[3],"for":[4,31,42],"locating":[5,32],"connecting":[6,35],"orbits":[7],"in":[8,16,59],"parametrized":[9],"systems":[10],"of":[11,45,52],"autonomous":[12],"ODEs":[13],"was":[14],"considered":[15],"[Numer.":[17],"Algorithms,":[18],"14":[19],"(1997),":[20],"pp.":[21],"103--124].":[22],"In":[23],"this":[24],"paper":[25],"we":[26],"present":[27,64],"an":[28],"improved":[29],"algorithm":[30,41,50],"and":[33,55],"continuing":[34],"orbits,":[36],"which":[37],"includes":[38],"a":[39],"new":[40],"the":[43,63],"invariant":[46],"subspaces.":[47],"The":[48],"latter":[49],"is":[51],"independent":[53],"interest":[54],"can":[56],"be":[57],"used":[58],"contexts":[60],"different":[61],"than":[62],"one.":[65]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":15},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
