{"id":"https://openalex.org/W2015983095","doi":"https://doi.org/10.1007/s00332-009-9039-0","title":"Dynamic Stability and Instability of Pinned Fundamental Vortices","display_name":"Dynamic Stability and Instability of Pinned Fundamental Vortices","publication_year":2009,"publication_date":"2009-02-17","ids":{"openalex":"https://openalex.org/W2015983095","doi":"https://doi.org/10.1007/s00332-009-9039-0","mag":"2015983095"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-009-9039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-009-9039-0","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5083412845","display_name":"Stephen J. Gustafson","orcid":"https://orcid.org/0000-0002-4532-9470"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Gustafson","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Vancouver, BC, Canada, V6T 1Z2","University of British Columbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Vancouver, BC, Canada, V6T 1Z2","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"University of British Columbia","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031202175","display_name":"Fridolin Sze Thou Ting","orcid":"https://orcid.org/0000-0001-7432-0187"},"institutions":[{"id":"https://openalex.org/I72541430","display_name":"Lakehead University","ror":"https://ror.org/023p7mg82","country_code":"CA","type":"education","lineage":["https://openalex.org/I72541430"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"F. Ting","raw_affiliation_strings":["Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON, Canada, P7B 5E1","Lakehead University;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON, Canada, P7B 5E1","institution_ids":["https://openalex.org/I72541430"]},{"raw_affiliation_string":"Lakehead University;","institution_ids":["https://openalex.org/I72541430"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031202175"],"corresponding_institution_ids":["https://openalex.org/I72541430"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.8662,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82485747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"4","first_page":"341","last_page":"374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.7968559265136719},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.7931317090988159},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.7493880391120911},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.7159225344657898},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.6748790144920349},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5258793830871582},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5132598876953125},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4668812155723572},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4507375955581665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38212254643440247},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3119533061981201},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20700424909591675},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1923135221004486}],"concepts":[{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.7968559265136719},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.7931317090988159},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.7493880391120911},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7159225344657898},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.6748790144920349},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5258793830871582},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5132598876953125},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4668812155723572},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4507375955581665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38212254643440247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3119533061981201},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20700424909591675},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1923135221004486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-009-9039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-009-9039-0","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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":33,"referenced_works":["https://openalex.org/W171105080","https://openalex.org/W1512007332","https://openalex.org/W1527296550","https://openalex.org/W1559550372","https://openalex.org/W1586311207","https://openalex.org/W1592958377","https://openalex.org/W1966652217","https://openalex.org/W1967688238","https://openalex.org/W1972523459","https://openalex.org/W1993984289","https://openalex.org/W2003378896","https://openalex.org/W2023868857","https://openalex.org/W2029887064","https://openalex.org/W2034356894","https://openalex.org/W2037555479","https://openalex.org/W2038032040","https://openalex.org/W2046913149","https://openalex.org/W2050357837","https://openalex.org/W2051170059","https://openalex.org/W2058380015","https://openalex.org/W2061454730","https://openalex.org/W2063544089","https://openalex.org/W2070165231","https://openalex.org/W2074829746","https://openalex.org/W2090059597","https://openalex.org/W2106559888","https://openalex.org/W2125164009","https://openalex.org/W2170612832","https://openalex.org/W2565502152","https://openalex.org/W3021722416","https://openalex.org/W3025452706","https://openalex.org/W3150646356","https://openalex.org/W4296792936"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W1531601525","https://openalex.org/W2022965084","https://openalex.org/W2013660766"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}