{"id":"https://openalex.org/W2023258376","doi":"https://doi.org/10.1142/s0218127405012375","title":"MULTIPARAMETER PARALLEL SEARCH BRANCH SWITCHING","display_name":"MULTIPARAMETER PARALLEL SEARCH BRANCH SWITCHING","publication_year":2005,"publication_date":"2005-03-01","ids":{"openalex":"https://openalex.org/W2023258376","doi":"https://doi.org/10.1142/s0218127405012375","mag":"2023258376"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405012375","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012375","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5074592454","display_name":"Michael E. Henderson","orcid":"https://orcid.org/0009-0007-2206-0011"},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"MICHAEL E. HENDERSON","raw_affiliation_strings":["IBM Research Division, T. J. Watson Research Center, Yorktown Heights, NY 10598, USA","IBM Research Division, T.J. Watson Research Center, Yorktown Heights, NY, 10598, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research Division, T. J. Watson Research Center, Yorktown Heights, NY 10598, USA","institution_ids":["https://openalex.org/I4210114115"]},{"raw_affiliation_string":"IBM Research Division, T.J. Watson Research Center, Yorktown Heights, NY, 10598, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074592454"],"corresponding_institution_ids":["https://openalex.org/I4210114115"],"apc_list":null,"apc_paid":null,"fwci":0.431,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.63127885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"03","first_page":"967","last_page":"974"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9602000117301941,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9602000117301941,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9502000212669373,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9469000101089478,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.799781858921051},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.798464834690094},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7768528461456299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7339219450950623},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.648308277130127},{"id":"https://openalex.org/keywords/singular-point-of-a-curve","display_name":"Singular point of a curve","score":0.6073798537254333},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5702790021896362},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5272128582000732},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.4814974069595337},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4700039029121399},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44549137353897095},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.41029101610183716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38686999678611755},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24917683005332947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16777080297470093}],"concepts":[{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.799781858921051},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.798464834690094},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7768528461456299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7339219450950623},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.648308277130127},{"id":"https://openalex.org/C200917960","wikidata":"https://www.wikidata.org/wiki/Q3847057","display_name":"Singular point of a curve","level":2,"score":0.6073798537254333},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5702790021896362},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5272128582000732},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4814974069595337},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4700039029121399},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44549137353897095},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.41029101610183716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38686999678611755},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24917683005332947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16777080297470093},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127405012375","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012375","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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":11,"referenced_works":["https://openalex.org/W1530314303","https://openalex.org/W1607862333","https://openalex.org/W1983653887","https://openalex.org/W2009334861","https://openalex.org/W2026254966","https://openalex.org/W2080434181","https://openalex.org/W2318205745","https://openalex.org/W2490694681","https://openalex.org/W2905382927","https://openalex.org/W4233255260","https://openalex.org/W4246199626"],"related_works":["https://openalex.org/W2005079237","https://openalex.org/W2137413016","https://openalex.org/W2094046875","https://openalex.org/W2069713792","https://openalex.org/W370258010","https://openalex.org/W2334634358","https://openalex.org/W2483553506","https://openalex.org/W123898865","https://openalex.org/W2953100338","https://openalex.org/W110415256"],"abstract_inverted_index":{"A":[0],"continuation":[1,59],"method":[2],"(sometimes":[3],"called":[4],"path":[5],"following)":[6],"is":[7,48,81,86,90,112],"a":[8,15,21,25,45,49,70,106],"way":[9],"to":[10,114,118],"compute":[11],"solution":[12],"curves":[13,43],"of":[14,18,51,73,98],"nonlinear":[16],"system":[17],"equations":[19],"with":[20],"parameter.":[22],"We":[23],"derive":[24],"simple":[26],"algorithm":[27],"for":[28,34,66],"branch":[29],"switching":[30],"at":[31,105],"bifurcation":[32,75],"points":[33],"multiple":[35],"parameter":[36,79],"continuation,":[37],"where":[38],"surfaces":[39],"bifurcate":[40],"along":[41],"singular":[42,110,120],"on":[44],"surface.":[46],"It":[47],"generalization":[50,85],"the":[52,58,64,74,84,93,109,116,119],"parallel":[53],"search":[54],"technique":[55],"used":[56,113],"in":[57],"code":[60],"AUTO,":[61],"and":[62,69,92],"avoids":[63],"need":[65],"second":[67],"derivatives":[68],"full":[71],"analysis":[72],"point.":[76],"The":[77],"one":[78],"case":[80],"special.":[82],"While":[83],"not":[87],"difficult,":[88],"it":[89],"nontrivial,":[91],"geometric":[94],"interpretation":[95],"may":[96],"be":[97],"some":[99],"interest.":[100],"An":[101],"additional":[102],"tangent":[103,117],"calculation":[104],"point":[107,111],"near":[108],"estimate":[115],"set.":[121]},"counts_by_year":[{"year":2016,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}