Stability may refer to:

Mathematics

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

Asymptotic stability Various types of Stability theory, stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point ...

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 for ...

Lyapunov stability Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. ...

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 *

Stability (probability) In probability theory, the stability of a random variable is the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters. The distributions of random variables ...

, 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 algorithm is perturbed by small changes to its inputs. A stable learning algorithm is one for which the prediction does not cha ...

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

sorting algorithm In computer science, a sorting algorithm is an algorithm that puts elements of a list into an order. The most frequently used orders are numerical order and lexicographical order, and either ascending or descending. Efficient sorting is important ...

s * Numerical stability, a property of numerical algorithms which describes how errors in the input data propagate through the algorithm *

Stability radius In mathematics, the stability radius of an object (system, function, matrix, parameter) at a given nominal point is the radius of the largest ball, centered at the nominal point, all of whose elements satisfy pre-determined stability condition ...

, 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 In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper in clas ...

* K-Stability, 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 In mathematics, a triangulated category is a category with the additional structure of a "translation functor" and a class of "exact triangles". Prominent examples are the derived category of an abelian category, as well as the stable homotopy cat ...

. * Stability (algebraic geometry)

Engineering

*In atmospheric fluid dynamics, atmospheric stability, a measure of the turbulence in the ambient atmosphere *

BIBO stability In signal processing, specifically control theory, bounded-input, bounded-output (BIBO) stability is a form of stability for signals and systems that take inputs. If a system is BIBO stable, then the output will be bounded for every input to the ...

(Bounded Input, Bounded Output stability), in signal processing and control theory *

Directional stability Directional stability is stability of a moving body or vehicle about an axis which is perpendicular to its direction of motion. Stability of a vehicle concerns itself with the tendency of a vehicle to return to its original direction in relation ...

, 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 In structural engineering, buckling is the sudden change in shape ( deformation) of a structural component under load, such as the bowing of a column under compression or the wrinkling of a plate under shear. If a structure is subjected to a ...

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 attit ...

, including

longitudinal stability In flight dynamics, longitudinal stability is the stability of an aircraft in the longitudinal, or pitching, plane. This characteristic is important in determining whether an aircraft pilot will be able to control the aircraft in the pitching pl ...

Nyquist stability criterion In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer at Siemens in 1930 and the Swedish-American electrical engineer Harry ...

, defining the limits of stability for pole-zero analysis in control systems * Relaxed stability, 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 centers of gravity, centers of buoyancy, the ...

in naval architecture includes **

Limit of positive stability In sailing, the limit of positive stability (LPS) or angle of vanishing stability (AVS) is the angle from the vertical at which a boat will no longer stay upright but will capsize, becoming :wikt:inverted, inverted, or Turtling (sailing), turtled. ...

, the angle at which a boat will no longer stay upright ** Stability conditions (watercraft) 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 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. ...

, 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 equilibri ...

, 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 t ...

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 ...

of a chemical compound **

Stability constants of complexes In coordination chemistry, a stability constant (also called formation constant or binding constant) is an equilibrium constant for the formation of a complex in solution. It is a measure of the strength of the interaction between the reagents tha ...

, in solution *

Convective instability In meteorology, convective instability or stability of an air mass refers to its ability to resist vertical motion. A ''stable'' atmosphere makes vertical movement difficult, and small vertical disturbances dampen out and disappear. In an ''uns ...

, a fluid dynamics condition *

Ecological stability In ecology, an ecosystem is said to possess ecological stability (or equilibrium) if it is capable of returning to its equilibrium state after a perturbation (a capacity known as resilience) or does not experience unexpected large changes in its c ...

, measure of the probability of a population returning quickly to a previous state, or not going extinct *

Plasma stability The stability of a plasma is an important consideration in the study of plasma physics. When a system containing a plasma is at equilibrium, it is possible for certain parts of the plasma to be disturbed by small perturbative forces acting on it ...

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

Exercise and sports medicine

Core stability In kinesiology, core stability refers to a person's ability to stabilize their core (all parts of the body which are not limbs). Stability, in this context, should be considered as an ability to control the position and movement of the core. Thu ...

of the abdominal muscles *

Joint stability Joint stability refers to the resistance offered by various musculoskeletal tissues that surround a skeletal joint. Several subsystems ensure the stability of a joint. These are the passive, active and neural subsystems. It is believed that one o ...

in the musculoskeletal system

Social sciences

* Economic stability, the absence of excessive fluctuations in the macroeconomy *

Hegemonic stability theory Hegemonic stability theory (HST) is a theory of international relations, rooted in research from the fields of political science, economics, and history. HST indicates that the international system is more likely to remain stable when a single sta ...

, a theory of international relations *

Mertens-stable equilibrium In game theory, Mertens stability is a solution concept used to predict the outcome of a non-cooperative game. A tentative definition of stability was proposed by Elon Kohlberg and Jean-François Mertens for games with finite numbers of players a ...

, called "stability" in game theory

Entertainment

*''

The Stability EP ''The Stability EP'' is a limited edition EP by Indie rock band Death Cab for Cutie, released February 19, 2002. The release marks the final appearance of drummer Michael Schorr. The tracks on ''The Stability EP'' were originally featured as bonu ...

'', a 2002 three song EP by Death Cab for Cutie *"Stability", a song by Debbie Harry from the album ''

Debravation ''Debravation'' is the fourth solo album by American singer Deborah Harry, released in July 19, 1993. It was the final album Harry made whilst signed to the Chrysalis label, thus ending a successful partnership that began with her time as a mem ...

'' * "''Stability''" (short story), by Philip K. Dick

Other uses

Stability (wine) In winemaking, clarification and stabilization are the processes by which insoluble matter suspended in the wine is removed before bottling. This matter may include dead yeast cells ( lees), bacteria, tartrates, proteins, pectins, various tannin ...