Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous functions on the real interval
|
| gptkbp:author |
gptkb:James_A._Yorke
Tian-Yuan Li |
| gptkbp:citation |
high
|
| gptkbp:field |
gptkb:mathematics
dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Period Three Implies Chaos
|
| gptkbp:impact |
foundational result in chaos theory
|
| gptkbp:notableFor |
introducing the term 'chaos' in mathematics
|
| gptkbp:publicationYear |
1975
|
| gptkbp:publishedIn |
gptkb:American_Mathematical_Monthly
|
| gptkbp:relatedConcept |
chaos theory
Sharkovskii's theorem periodic points |
| gptkbp:sentence |
If a continuous map of an interval into itself has a point of period three, then it has points of every other period and exhibits chaotic behavior.
|
| gptkbp:bfsParent |
gptkb:James_Yorke
|
| gptkbp:bfsLayer |
7
|