Stability Theory of Differential Equations
GPTKB entity
Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Theory
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| gptkbp:application |
Epidemiology
Chemical Reactions Electrical Circuits Mechanical Systems Population Dynamics |
| gptkbp:appliesTo |
gptkb:Dynamical_Systems
gptkb:Ordinary_Differential_Equations Partial Differential Equations |
| gptkbp:concerns |
Behavior of Solutions under Perturbations
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Differential_Equations |
| gptkbp:goal |
Determine Stability of Equilibrium Points
Determine Stability of Periodic Orbits Determine Stability of Solutions |
| gptkbp:hasConcept |
gptkb:Attractor
Instability Conservative System Dissipative System Equilibrium Point Global Stability Input-to-State Stability Limit Cycle Local Stability Perturbation Stability Margin Stability Region Stability under Nonlinearities Stability under Random Perturbations Stability under Time Delay Structural Stability Uniform Stability |
| https://www.w3.org/2000/01/rdf-schema#label |
Stability Theory of Differential Equations
|
| gptkbp:includes |
Bifurcation Theory
Invariant Sets Linear Stability Analysis Lyapunov Functions Nonlinear Stability Analysis Stability Criteria |
| gptkbp:notablePerson |
gptkb:Aleksandr_Lyapunov
|
| gptkbp:originatedIn |
Late 19th Century
|
| gptkbp:relatedTo |
gptkb:Lyapunov_Stability
Asymptotic Stability Exponential Stability |
| gptkbp:studies |
Stability of Solutions
|
| gptkbp:usedIn |
gptkb:Physics
Economics Engineering Biology Control System |
| gptkbp:bfsParent |
gptkb:Richard_M._Bellman
|
| gptkbp:bfsLayer |
7
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