{"id":"https://openalex.org/W1592437754","doi":"https://doi.org/10.1007/978-0-387-30440-3_364","title":"Non-linear Ordinary Differential Equations and Dynamical Systems, Introduction to","display_name":"Non-linear Ordinary Differential Equations and Dynamical Systems, Introduction to","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1592437754","doi":"https://doi.org/10.1007/978-0-387-30440-3_364","mag":"1592437754"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-30440-3_364","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_364","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5052603280","display_name":"Ferdinand Verhulst","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ferdinand Verhulst","raw_affiliation_strings":["Mathematisch Instituut, University of Utrecht, Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, University of Utrecht, Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052603280"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18512111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6214","last_page":"6216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.413100004196167,"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/T11416","display_name":"Numerical methods for differential equations","score":0.413100004196167,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.35190001130104065,"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/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5767714977264404},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5233439803123474},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4632168412208557},{"id":"https://openalex.org/keywords/linear-differential-equation","display_name":"Linear differential equation","score":0.437677264213562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4329725503921509},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32364583015441895},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.30868232250213623},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.305747926235199}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5767714977264404},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5233439803123474},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4632168412208557},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.437677264213562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4329725503921509},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32364583015441895},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30868232250213623},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.305747926235199},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-30440-3_364","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_364","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W760823843","https://openalex.org/W622165964","https://openalex.org/W2498283791","https://openalex.org/W752867748","https://openalex.org/W399625183","https://openalex.org/W3015867334","https://openalex.org/W2801464846","https://openalex.org/W783850014","https://openalex.org/W3127778901","https://openalex.org/W2074345993","https://openalex.org/W2124584830","https://openalex.org/W2504447568","https://openalex.org/W2491104166","https://openalex.org/W2307394492","https://openalex.org/W2505780953","https://openalex.org/W41111979","https://openalex.org/W1980158584","https://openalex.org/W146051990","https://openalex.org/W2120845971","https://openalex.org/W2575151195"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}