Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous dynamical systems
discrete dynamical systems |
| gptkbp:canBe |
positive
zero negative |
| gptkbp:describes |
rate of separation of infinitesimally close trajectories
|
| gptkbp:field |
gptkb:mathematics
dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Lyapunov exponents
|
| gptkbp:introducedIn |
late 19th century
|
| gptkbp:mathematicalDefinition |
limit of average exponential rate of divergence or convergence of nearby orbits
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Lyapunov
|
| gptkbp:negativeValueIndicates |
stable behavior
|
| gptkbp:positiveValueIndicates |
chaotic behavior
|
| gptkbp:relatedTo |
gptkb:Lyapunov_function
gptkb:Lyapunov_stability |
| gptkbp:usedIn |
chaos theory
nonlinear systems stability analysis |
| gptkbp:zeroValueIndicates |
neutral stability
|
| gptkbp:bfsParent |
gptkb:Dynamical_Systems
gptkb:Yakov_Pesin |
| gptkbp:bfsLayer |
5
|