Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous dynamical systems
differentiable dynamical systems |
| gptkbp:concerns |
existence of periodic points
perturbation of dynamical systems |
| gptkbp:field |
dynamical systems
|
| https://www.w3.org/2000/01/rdf-schema#label |
The closing lemma
|
| gptkbp:influenced |
further research in dynamical systems
|
| gptkbp:proposedBy |
gptkb:Charles_Pugh
|
| gptkbp:relatedTo |
gptkb:Poincaré_recurrence_theorem
gptkb:Pugh's_closing_lemma structural stability |
| gptkbp:state |
For a generic diffeomorphism, non-wandering points can be approximated by periodic points after a small perturbation
|
| gptkbp:yearProposed |
1967
|
| gptkbp:bfsParent |
gptkb:Mathematical_problems_for_the_next_century
|
| gptkbp:bfsLayer |
6
|