Peixoto's theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo smooth vector fields on compact two-dimensional manifolds
gptkbp:field dynamical systems
https://www.w3.org/2000/01/rdf-schema#label Peixoto's theorem
gptkbp:namedAfter gptkb:Maurício_Peixoto
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Poincaré–Bendixson_theorem
gptkb:qualitative_theory_of_differential_equations
structural stability
gptkbp:state structurally stable systems are open and dense among all dynamical systems on compact two-dimensional manifolds
gptkbp:yearProposed 1962
gptkbp:bfsParent gptkb:Maria_Vianna_Peixoto
gptkbp:bfsLayer 7