Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
biology
economics engineering physics psychology 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 |
dynamical systems
differential topology singularity theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Catastrophe theory
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:notableExample |
phase transitions
earthquakes avalanches hysteresis chemical reactions tipping points multistability population collapse bistability market crashes animal behavior changes bifurcation points buckling of a beam critical transitions perception shifts |
| gptkbp:notableFigure |
gptkb:Christopher_Zeeman
|
| gptkbp:notableIdea |
cusp catastrophe
butterfly catastrophe elliptic umbilic catastrophe fold catastrophe hyperbolic umbilic catastrophe parabolic umbilic catastrophe swallowtail catastrophe |
| gptkbp:notableWork |
gptkb:Structural_Stability_and_Morphogenesis
|
| gptkbp:relatedTo |
chaos theory
singularity theory bifurcation theory |
| gptkbp:usedFor |
analyzing sudden changes in systems
modeling discontinuous phenomena studying stability of equilibria |
| gptkbp:bfsParent |
gptkb:Rene_Thom
|
| gptkbp:bfsLayer |
8
|