Stability

Mathematics

Stability theory, the study of the stability of solutions to differential equations and dynamical systems
Stability (probability), a property of probability distributions
Stability (learning theory), a property of machine learning algorithms
Stability, a property of sorting algorithms
Numerical stability, a property of numerical algorithms which describes how errors in the input data propagate through the algorithm
Stability radius, a property of continuous polynomial functions
Stable theory, concerned with the notion of stability in model theory
Stability, a property of points in geometric invariant theory
K-Stability, a stability condition for algebraic varieties.
Bridgeland stability conditions, a class of stability conditions on elements of a triangulated category.
Stability (algebraic geometry)

BIBO stability (Bounded Input, Bounded Output stability), in signal processing and control theory
Directional stability, the tendency for a body moving with respect to a medium to point in the direction of motion
Elastic stability, the resistance of a structural member to buckling
Flight dynamics, including longitudinal stability
Nyquist stability criterion, defining the limits of stability for pole-zero analysis in control systems
Relaxed stability, the property of inherently unstable aircraft
Ship stability in naval architecture includes
- Limit of positive stability, the angle at which a boat will no longer stay upright
- Stability conditions (watercraft) of waterborne vessels
Slope stability, a property of soil-covered slopes
Stability model of software design

Atmospheric stability, in fluid dynamics, a measure of the turbulence in the ambient atmosphere
Band of stability, in physics, the scatter distribution of isotopes that do not decay
Chemical stability, occurring when a substance is in a dynamic chemical equilibrium with its environment
- Thermal stability of a chemical compound
- Kinetic stability of a chemical compound
- Stability constants of complexes, in solution
Convective instability, a fluid dynamics condition
Ecological stability, measure of the probability of a population returning quickly to a previous state, or not going extinct
Homeostasis, a property of a biological system in which variables are regulated so that internal conditions remain stable
Metastability, stability of an intermediate energy state of a dynamical system above its lowest energy state
Plasma stability, a measure of how likely a perturbation in a plasma is to be damped out