Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
planar differential equations
|
| gptkbp:field |
dynamical systems
partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
Bendixson–Dulac theorem
|
| gptkbp:namedAfter |
gptkb:Ivar_Bendixson
gptkb:Henri_Dulac |
| gptkbp:publishedIn |
gptkb:Annales_scientifiques_de_l'École_Normale_Supérieure
|
| gptkbp:relatedTo |
gptkb:Poincaré–Bendixson_theorem
|
| gptkbp:state |
A planar autonomous system has no periodic orbits in a simply connected region where the divergence of a Dulac function times the vector field does not change sign.
|
| gptkbp:usedFor |
proving non-existence of limit cycles
|
| gptkbp:bfsParent |
gptkb:Ivar_Bendixson
|
| gptkbp:bfsLayer |
7
|