Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
iterated map
|
| gptkbp:continuous_analog |
logistic differential equation
|
| gptkbp:definedIn |
x_{n+1} = r x_n (1 - x_n)
|
| gptkbp:discrete-time |
yes
|
| gptkbp:exhibits |
chaotic behavior
period doubling |
| gptkbp:field |
gptkb:mathematics
chaos theory dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
logistic map
|
| gptkbp:introduced |
gptkb:Pierre_François_Verhulst
|
| gptkbp:notable_value_of_r |
3.56995 (onset of chaos)
4 (fully chaotic) |
| gptkbp:parameter |
r
|
| gptkbp:relatedTo |
gptkb:logistic_equation
|
| gptkbp:studiedBy |
chaos
bifurcation |
| gptkbp:used_in |
mathematical biology
population dynamics |
| gptkbp:variant |
x_n
|
| gptkbp:bfsParent |
gptkb:Dynamical_Systems
gptkb:Chaos_Theory |
| gptkbp:bfsLayer |
5
|