Bendixson's negative criterion
GPTKB entity
Statements (11)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
planar differential equations
|
| gptkbp:field |
dynamical systems
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bendixson's negative criterion
|
| gptkbp:namedAfter |
gptkb:Ivar_Bendixson
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:state |
A simply connected region in the plane where the divergence of a vector field does not change sign contains no nonconstant periodic solutions.
|
| gptkbp:usedFor |
ruling out existence of limit cycles
|
| gptkbp:yearProposed |
1901
|
| gptkbp:bfsParent |
gptkb:Bendixson's_theorem
|
| gptkbp:bfsLayer |
8
|