Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
deterministic dynamical systems
|
| gptkbp:dimensions |
embedding dimension greater than twice the box-counting dimension of the attractor
|
| gptkbp:field |
gptkb:mathematics
dynamical systems |
| gptkbp:hasApplication |
analysis of experimental data
prediction of chaotic systems reconstruction of state space from time series |
| gptkbp:hasConcept |
embedding theorem
reconstruction of attractors |
| https://www.w3.org/2000/01/rdf-schema#label |
Takens' theorem
|
| gptkbp:namedAfter |
gptkb:Floris_Takens
|
| gptkbp:publishedIn |
gptkb:Lecture_Notes_in_Mathematics
|
| gptkbp:relatedTo |
gptkb:Whitney_embedding_theorem
delay embedding attractor reconstruction phase space reconstruction |
| gptkbp:state |
the dynamics of a smooth dynamical system can be reconstructed from a sequence of observations of a generic function of the system's state
|
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:signal_processing chaos theory time series analysis nonlinear time series analysis |
| gptkbp:yearProposed |
1981
|
| gptkbp:bfsParent |
gptkb:Floris_Takens
gptkb:Nonlinear_Dynamics |
| gptkbp:bfsLayer |
7
|