{"id":"https://openalex.org/W2014168278","doi":"https://doi.org/10.1142/s021812740701941x","title":"HIERARCHICAL MODELING OF A FORCED ROBERTS DYNAMO","display_name":"HIERARCHICAL MODELING OF A FORCED ROBERTS DYNAMO","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2014168278","doi":"https://doi.org/10.1142/s021812740701941x","mag":"2014168278"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740701941x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740701941x","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/A5036236559","display_name":"Reik V. Donner","orcid":"https://orcid.org/0000-0001-7023-6375"},"institutions":[{"id":"https://openalex.org/I176453806","display_name":"University of Potsdam","ror":"https://ror.org/03bnmw459","country_code":"DE","type":"education","lineage":["https://openalex.org/I176453806"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"REIK DONNER","raw_affiliation_strings":["Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany","institution_ids":["https://openalex.org/I176453806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076180036","display_name":"F. Feudel","orcid":"https://orcid.org/0000-0003-3201-3044"},"institutions":[{"id":"https://openalex.org/I176453806","display_name":"University of Potsdam","ror":"https://ror.org/03bnmw459","country_code":"DE","type":"education","lineage":["https://openalex.org/I176453806"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"FRED FEUDEL","raw_affiliation_strings":["Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany","institution_ids":["https://openalex.org/I176453806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025101975","display_name":"N. Seehafer","orcid":"https://orcid.org/0000-0003-1624-0802"},"institutions":[{"id":"https://openalex.org/I176453806","display_name":"University of Potsdam","ror":"https://ror.org/03bnmw459","country_code":"DE","type":"education","lineage":["https://openalex.org/I176453806"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"NORBERT SEEHAFER","raw_affiliation_strings":["Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany","institution_ids":["https://openalex.org/I176453806"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055264305","display_name":"Miguel A. F. Sanju\u00e1n","orcid":"https://orcid.org/0000-0003-3515-0837"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"MIGUEL A. F. SANJU\u00c1N","raw_affiliation_strings":["Nonlinear Dynamics and Chaos Group, Departamento de Matem\u00e1ticas y F\u00edsica Aplicadas, y Ciencias de la Naturaleza, Universidad Rey Juan Carlos, Tulip\u00e1n s/n, 28933 M\u00f3stoles, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Dynamics and Chaos Group, Departamento de Matem\u00e1ticas y F\u00edsica Aplicadas, y Ciencias de la Naturaleza, Universidad Rey Juan Carlos, Tulip\u00e1n s/n, 28933 M\u00f3stoles, Spain","institution_ids":["https://openalex.org/I182083151"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09133129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"10","first_page":"3589","last_page":"3593"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamo","display_name":"Dynamo","score":0.9847763180732727},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6569136381149292},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6166709661483765},{"id":"https://openalex.org/keywords/dynamo-theory","display_name":"Dynamo theory","score":0.5985988974571228},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.567940354347229},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5631778240203857},{"id":"https://openalex.org/keywords/excitation","display_name":"Excitation","score":0.5551908016204834},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.49460193514823914},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.37905353307724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35899800062179565},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2911853492259979},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.2686004936695099},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12410226464271545},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05464312434196472}],"concepts":[{"id":"https://openalex.org/C135757623","wikidata":"https://www.wikidata.org/wiki/Q719861","display_name":"Dynamo","level":3,"score":0.9847763180732727},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6569136381149292},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6166709661483765},{"id":"https://openalex.org/C105094362","wikidata":"https://www.wikidata.org/wiki/Q1269129","display_name":"Dynamo theory","level":4,"score":0.5985988974571228},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.567940354347229},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5631778240203857},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.5551908016204834},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.49460193514823914},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37905353307724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35899800062179565},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2911853492259979},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.2686004936695099},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12410226464271545},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05464312434196472},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s021812740701941x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740701941x","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"},{"id":"pmh:oai:kobv.de-opus4-uni-potsdam:30600","is_oa":false,"landing_page_url":"https://publishup.uni-potsdam.de/frontdoor/index/index/docId/30600","pdf_url":null,"source":{"id":"https://openalex.org/S4306400594","display_name":"publish.UP (University of Potsdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I176453806","host_organization_name":"University of Potsdam","host_organization_lineage":["https://openalex.org/I176453806"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1577238832","https://openalex.org/W1664975983","https://openalex.org/W1968749486","https://openalex.org/W1985666361","https://openalex.org/W1987365252","https://openalex.org/W2016533807","https://openalex.org/W2044925755","https://openalex.org/W2057187174","https://openalex.org/W2070040715"],"related_works":["https://openalex.org/W4247960770","https://openalex.org/W1973724150","https://openalex.org/W2020573967","https://openalex.org/W2131789020","https://openalex.org/W4247265045","https://openalex.org/W2149974609","https://openalex.org/W3160282213","https://openalex.org/W2068939329","https://openalex.org/W2016056339","https://openalex.org/W1973929965"],"abstract_inverted_index":{"We":[0,56],"investigate":[1],"the":[2,26,43,62,66,68,77,81],"dynamo":[3,28,74],"effect":[4],"in":[5,14],"a":[6,18,50],"flow":[7],"configuration":[8],"introduced":[9],"by":[10],"G.":[11],"O.":[12],"Roberts":[13],"1972.":[15],"Based":[16],"on":[17,25],"clear":[19],"energetic":[20],"hierarchy":[21],"of":[22,33,42,53,65,80],"Fourier":[23],"components":[24],"steady-state":[27],"branch,":[29],"an":[30],"approximate":[31],"model":[32,59],"interacting":[34],"modes":[35],"is":[36],"constructed":[37],"covering":[38],"all":[39],"essential":[40],"features":[41],"complete":[44],"system":[45],"but":[46],"allowing":[47],"simulations":[48],"with":[49],"minimum":[51],"amount":[52],"computation":[54],"time.":[55],"use":[57],"this":[58],"to":[60,72],"study":[61],"excitation":[63],"mechanism":[64],"dynamo,":[67],"transition":[69],"from":[70],"stationary":[71],"time-dependent":[73],"solutions":[75],"and":[76],"characteristic":[78],"properties":[79],"latter":[82],"ones.":[83]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}