Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
autonomous differential equations
global asymptotic stability |
| gptkbp:field |
dynamical systems
partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
Markus–Yamabe conjecture
|
| gptkbp:proposedBy |
gptkb:Hidehiko_Yamabe
Lawrence Markus |
| gptkbp:relatedTo |
Jacobian conjecture
|
| gptkbp:sentence |
If the Jacobian matrix of a C^1 vector field on R^n has all eigenvalues with negative real part everywhere, then the origin is a global attractor.
|
| gptkbp:status |
disproven in dimension greater than 2
true in dimension 2 |
| gptkbp:yearProposed |
1960
|
| gptkbp:bfsParent |
gptkb:Maria_Lvovna_Markus
|
| gptkbp:bfsLayer |
7
|