Stability may refer to:

Mathematics

Stability theory In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial diffe ...

, the study of the stability of solutions to differential equations and dynamical systems ** Asymptotic stability **

Linear stability In mathematics, in the theory of differential equations and dynamical systems, a particular stationary or quasistationary solution to a nonlinear system is called linearly unstable if the linearization of the equation at this solution has the form ...

** Lyapunov stability **

Orbital stability In mathematical physics and the theory of partial differential equations, the solitary wave solution of the form u(x,t)=e^\phi(x) is said to be orbitally stable if any solution with the initial data sufficiently close to \phi(x) forever remains ...

Structural stability In mathematics, structural stability is a fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations (to be exact ''C''1-small perturbations). Examples of such q ...

* Stability (probability), a property of probability distributions *

Stability (learning theory) Stability, also known as algorithmic stability, is a notion in computational learning theory of how a machine learning, machine learning algorithm is perturbed by small changes to its inputs. A stable learning algorithm is one for which the predic ...

, a property of machine learning algorithms *Stability, a property of sorting algorithms *

Numerical stability In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorit ...

, 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 In the mathematical field of model theory, a complete theory is called stable if it does not have too many types. One goal of classification theory is to divide all complete theories into those whose models can be classified and those whose model ...

, concerned with the notion of stability in model theory *Stability, a property of points in geometric invariant theory *

K-Stability In mathematics, and especially differential geometry, differential and algebraic geometry, K-stability is an Algebraic Geometry, algebro-geometric stability condition, for complex manifolds and complex algebraic variety, complex algebraic varieties. ...

, a stability condition for algebraic varieties. *

Bridgeland stability condition In mathematics, and especially algebraic geometry, a Bridgeland stability condition, defined by Tom Bridgeland, is an algebro-geometric stability condition defined on elements of a triangulated category. The case of original interest and particul ...

s, a class of stability conditions on elements of a triangulated category. *

Stability (algebraic geometry) In mathematics, and especially algebraic geometry, stability is a notion which characterises when a geometric object, for example a point, an algebraic variety, a vector bundle, or a sheaf, has some desirable properties for the purpose of classifyi ...

Engineering

*In atmospheric fluid dynamics,

atmospheric stability Atmospheric instability is a condition where the Earth's atmosphere is generally considered to be unstable and as a result the weather is subjected to a high degree of variability through distance and time. Atmospheric stability is a measure of th ...

, a measure of the turbulence in the ambient atmosphere * 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 Flight dynamics in aviation and spacecraft, is the study of the performance, stability, and control of vehicles flying through the air or in outer space. It is concerned with how forces acting on the vehicle determine its velocity and attitude w ...

, including longitudinal stability * Nyquist stability criterion, defining the limits of stability for pole-zero analysis in control systems *

Relaxed stability In aviation, relaxed stability refers to an aircraft with low or negative stability. An aircraft with negative stability will have a tendency to change its pitch and bank angles spontaneously. An aircraft with negative stability cannot be trimm ...

, the property of inherently unstable aircraft *

Ship stability Ship stability is an area of naval architecture and ship design that deals with how a ship behaves at sea, both in still water and in waves, whether intact or damaged. Stability calculations focus on center of mass#center of gravity, centers of g ...

in naval architecture includes ** Limit of positive stability, the angle at which a boat will no longer stay upright **

Stability conditions (watercraft) The stability conditions of watercraft are the various standard loading configurations to which a ship, boat, or offshore platform may be subjected. They are recognized by classification societies such as Det Norske Veritas, Lloyd's Register and ...

of waterborne vessels *

Slope stability Slope stability analysis is a static or dynamic, analytical or empirical method to evaluate the stability of earth and rock-fill dams, embankments, excavated slopes, and natural slopes in soil and rock. Slope stability refers to the condition of i ...

, a property of soil-covered slopes *

Stability Model In software development, the Stability Model (SM) is a method for designing and modelling software. It is an extension of Object Oriented Software Design (OOSD) methodology, such as Unified Modeling Language (UML), but adds its own set of rule ...

of software design

Natural sciences

Band of stability Stable nuclides are nuclides that are not radioactive and so (unlike radionuclides) do not spontaneously undergo radioactive decay. When such nuclides are referred to in relation to specific elements, they are usually termed stable isotopes. The ...

, in physics, the scatter distribution of isotopes that do not decay *

Chemical stability In chemistry, chemical stability is the thermodynamic stability of a chemical system. Thermodynamic stability occurs when a system is in its lowest energy state, or in chemical equilibrium with its environment. This may be a dynamic equilibrium ...

, occurring when a substance is in a dynamic chemical equilibrium with its environment **

Thermal stability In thermodynamics, thermal stability describes the stability of a water body and its resistance to mixing.Schmidt, W. 1928. Über Temperatur und Stabilitätsverhältnisse von Seen. Geogr. Ann 10: 145 - 177. It is the amount of work needed to tr ...

of a chemical compound **

Kinetic stability In chemistry and physics, metastability denotes an intermediate energetic state within a dynamical system other than the system's state of least energy. A ball resting in a hollow on a slope is a simple example of metastability. If the ball i ...

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 * Plasma stability, a measure of how likely a perturbation in a plasma is to be damped out

Exercise and sports medicine

* Core stability of the abdominal muscles * Joint stability in the musculoskeletal system

Social sciences

Economic stability Economic stability is the absence of excessive fluctuations in the macroeconomy. An economy with fairly constant output growth and low and stable inflation would be considered economically stable. An economy with frequent large recessions, a pronou ...

, the absence of excessive fluctuations in the macroeconomy * Hegemonic stability theory, a theory of international relations * Mertens-stable equilibrium, called "stability" in game theory

Entertainment

*'' The Stability EP'', a 2002 three song EP by Death Cab for Cutie *"Stability", a song by Debbie Harry from the album '' Debravation'' * "''Stability''" (short story), by Philip K. Dick

Other uses

* Stability (wine)