Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:concept
|
| gptkbp:applies_to |
stability analysis
|
| gptkbp:are |
real numbers
used in machine learning used in optimization problems used in engineering used in meteorology used in finance used in robotics used in climate modeling used in physics used in signal processing important for understanding chaos related to eigenvalues related to fractals related to sensitivity to initial conditions used in biology used in control theory used in neuroscience used in system identification used in time series analysis |
| gptkbp:can_be |
negative
positive zero generalized computed numerically time-independent time-dependent visualized graphically applied to ecological models applied to economic models applied to networks applied to social dynamics applied to systems biology computed for continuous systems computed for discrete systems derived from differential equations derived from iterative maps estimated from data negative for stable systems positive for chaotic systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Lyapunov exponents
|
| gptkbp:indication |
exponential convergence
exponential divergence |
| gptkbp:is_analyzed_in |
Lyapunov function
|
| gptkbp:measures |
rate of separation of trajectories
|
| gptkbp:named_after |
gptkb:Alexandre_Lyapunov
|
| gptkbp:related_to |
dynamical systems
|
| gptkbp:used_in |
chaos theory
|
| gptkbp:bfsParent |
gptkb:Dimension_of_Chaos
|
| gptkbp:bfsLayer |
4
|