Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
bifurcation |
| gptkbp:alsoKnownAs |
gptkb:Hopf_bifurcation
|
| gptkbp:appliesTo |
systems with at least two dimensions
|
| gptkbp:canBe |
supercritical
subcritical |
| gptkbp:describes |
local bifurcation in which a fixed point of a dynamical system loses stability
|
| gptkbp:field |
gptkb:mathematics
dynamical systems |
| gptkbp:firstDescribed |
1942
|
| gptkbp:form |
occurs when a pair of complex conjugate eigenvalues of the linearization cross the imaginary axis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Andronov–Hopf bifurcation
|
| gptkbp:namedAfter |
gptkb:Eberhard_Hopf
gptkb:Aleksandr_Andronov |
| gptkbp:occurredIn |
nonlinear dynamical systems
|
| gptkbp:relatedTo |
limit cycle
oscillatory behavior |
| gptkbp:result |
emergence of a limit cycle
|
| gptkbp:type |
codimension-1 bifurcation
|
| gptkbp:usedIn |
biology
chemistry engineering physics |
| gptkbp:bfsParent |
gptkb:Hopf_bifurcation
|
| gptkbp:bfsLayer |
6
|