{"id":"https://openalex.org/keywords/normal-forms","display_name":"normal forms","description":"Simplified mathematical representations of dynamical systems used to analyze their qualitative behavior near equilibrium points or other structures.","display_name_alternatives":["dynamical system normal forms","normal forms of dynamical systems","normal form"],"ids":{"openalex":"https://openalex.org/keywords/normal-forms","wikidata":"https://www.wikidata.org/wiki/Q18354536"},"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.2023,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.2023,"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/T10126","display_name":"Logic, programming, and type systems","score":0.0709,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"works_count":12484,"cited_by_count":178262,"works_api_url":"https://api.openalex.org/works?filter=keywords.id:keywords/normal-forms","updated_date":"2026-10-20T04:07:40","created_date":"2026-09-30T00:00:00"}