Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Bendixson's_negative_criterion
|
| gptkbp:appliesTo |
planar autonomous systems
|
| gptkbp:field |
dynamical systems
partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
Bendixson's theorem
|
| gptkbp:namedAfter |
gptkb:Ivar_Bendixson
|
| gptkbp:prevention |
existence of limit cycles under certain conditions
|
| gptkbp:publicationYear |
1901
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:state |
A planar autonomous system with a simply connected region where the divergence of the vector field does not change sign has no nontrivial periodic solutions in that region.
|
| gptkbp:usedIn |
gptkb:qualitative_theory_of_differential_equations
|
| gptkbp:bfsParent |
gptkb:Ivar_Bendixson
|
| gptkbp:bfsLayer |
7
|