Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
biology
economics engineering physics psychology social sciences |
| gptkbp:criticizedFor |
lack of empirical support in some fields
over-application in social sciences |
| gptkbp:describes |
sudden shifts in behavior arising from small changes in circumstances
|
| gptkbp:developedBy |
gptkb:René_Thom
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Singularity_theory Dynamical systems Bifurcation theory |
| gptkbp:form |
differential topology
manifolds potential functions |
| gptkbp:hasConcept |
singularity
potential function state variables bifurcation set catastrophe manifold control parameters |
| https://www.w3.org/2000/01/rdf-schema#label |
Catastrophe Theory
|
| gptkbp:influenced |
behavioral sciences
ecology economics engineering psychology sociology theoretical biology |
| gptkbp:introducedIn |
1960s
|
| gptkbp:notableFigure |
gptkb:Christopher_Zeeman
|
| gptkbp:notableModel |
cusp catastrophe
butterfly catastrophe elliptic umbilic catastrophe fold catastrophe hyperbolic umbilic catastrophe parabolic umbilic catastrophe swallowtail catastrophe |
| gptkbp:notablePublication |
gptkb:Structural_Stability_and_Morphogenesis
|
| gptkbp:relatedTo |
chaos theory
singularity theory bifurcation theory |
| gptkbp:studies |
critical points
structural stability discontinuous phenomena qualitative changes in systems |
| gptkbp:bfsParent |
gptkb:Владимир_Арнольд
gptkb:V.I._Arnold |
| gptkbp:bfsLayer |
6
|