Stability
Encyclopedia
Mathematics
- Stability theoryStability theoryIn mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions...
, the study of the stability of solutions to differential equations and dynamical systems- Lyapunov stabilityLyapunov stabilityVarious types of stability may be discussed for the solutions of differential equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. This may be discussed by the theory of Lyapunov...
- Structural stabilityStructural stabilityIn mathematics, structural stability is a fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by C1-small perturbations....
- Lyapunov stability
- Stability of a point in geometric invariant theory.
- Numerical stabilityNumerical stabilityIn the mathematical subfield of numerical analysis, numerical stability is a desirable property of numerical algorithms. The precise definition of stability depends on the context, but it is related to the accuracy of the algorithm....
, a property of numerical algorithms which describes how errors in the input data propagate through the algorithm - Stability (probability)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 having this property are said to be "stable...
, a property of probability distributions - Stability radiusStability radiusThe stability radius of an object at a given nominal point is the radius of the largest ball, centered at the nominal point, all whose elements satisfy pre-determined stability conditions...
, a property of continuous polynomial functions - Stable theoryStable theoryIn 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 models are too complicated to classify, and to classify all models in the cases...
, concerned with the notion of stability in model theory
Engineering
- In atmospheric fluid dynamics, atmospheric stability, a measure of the turbulence in the ambient atmosphere
- BIBO stabilityBIBO stabilityIn electrical engineering, specifically signal processing and control theory, BIBO stability is a form of stability for linear signals and systems that take inputs. BIBO stands for Bounded-Input Bounded-Output...
(Bounded Input, Bounded Output stability), in signal processing and control theory, part of electrical engineering - Directional stabilityDirectional stabilityDirectional 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 to the oncoming medium when disturbed away from...
, the tendency for a body moving with respect to a medium to point in the direction of motion - Flight dynamicsFlight dynamicsFlight dynamics is the science of air vehicle orientation and control in three dimensions. The three critical flight dynamics parameters are the angles of rotation in three dimensions about the vehicle's center of mass, known as pitch, roll and yaw .Aerospace engineers develop control systems for...
including longitudinal static stabilityLongitudinal static stabilityLongitudinal static stability is the stability of an aircraft in the longitudinal, or pitching, plane during static conditions. This characteristic is important in determining whether an aircraft will be able to fly as intended... - Nyquist stability criterionNyquist stability criterionWhen designing a feedback control system, it is generally necessary to determine whether the closed-loop system will be stable. An example of a destabilizing feedback control system would be a car steering system that overcompensates -- if the car drifts in one direction, the control system...
, defining the limits of stability for pole-zero analysis in control systemsControl theoryControl theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems. The desired output of a system is called the reference... - Relaxed stabilityRelaxed stabilityIn aviation, relaxed stability is the tendency of an aircraft to change its attitude and angle of bank of its own accord. An aircraft with relaxed stability will oscillate in simple harmonic motion around a particular attitude at an increasing amplitude....
, the property of inherently unstable aircraft - Ship stabilityShip stabilityShip 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. Stability calculations focus on the center of gravity and center of buoyancy of vessels and on how these interact....
in naval architecture includes - Limit of Positive StabilityLimit of Positive StabilityLimit of Positive Stability or LPS is the angle from the vertical at which a boat will no longer stay upright but will capsize, becoming inverted, or turtled. It is also known as the Angle of Vanishing Stability or AVS. For example, if a boat with an LPS of 120 degrees rolls past this point, i.e...
- Stability conditions (watercraft)Stability conditions (watercraft)Stability conditions is the term used to describe the various standard loading configurations to which a ship, boat, or offshore platform may be subjected. They are recognized by classification societies such as Lloyd's Register, American Bureau of Shipping and Det Norske Veritas...
of waterborne vessels. - Slope stabilitySlope stabilityThe field of slope stability encompasses the analysis of static and dynamic stability of slopes of earth and rock-fill dams, slopes of other types of embankments, excavated slopes, and natural slopes in soil and soft rock...
- Stability ModelStability ModelStability Model is a method of designing and modelling software. It is an extension of Object Oriented Software Design methodology, like UML, but adds its own set of rules, guidelines, procedures, and heuristics to achieve a more advanced Object Oriented software.The motivation is to achieve a...
of software design.
Natural sciences
- Band of stability, in physics, the scatter distribution of isotopes which do not decay
- Chemical stabilityChemical stabilityChemical stability when used in the technical sense in chemistry, means thermodynamic stability of a chemical system.Thermodynamic stability occurs when a system is in its lowest energy state, or chemical equilibrium with its environment. This may be a dynamic equilibrium, where individual atoms...
, occurring when a substance is in a dynamic chemical equilibrium with its environment - Thermal stabilityThermal stabilityThermal stability is the stability of a molecule at high temperatures; i.e. a molecule with more stability has more resistance to decomposition at high temperatures....
of a chemical compound - stability of a chemical complexStability constants of complexesA stability 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 that come together to form the complex...
- Convective instabilityConvective instabilityIn meteorology, convective instability or stability of an airmass refers to its ability to resist vertical motion. A stable atmosphere makes vertical movement difficult, and small vertical disturbances dampen out and disappear...
, a meteorological condition - Ecological stabilityEcological stabilityEcological stability can refer to types of stability in a continuum ranging from resilience to constancy to persistence. The precise definition depends on the ecosystem in question, the variable or variables of interest, and the overall context...
, measure of the probability of a population returning quickly to a previous state, or not going extinct - Plasma stabilityPlasma stabilityAn important field of plasma physics is the stability of the plasma. It usually only makes sense to analyze the stability of a plasma once it has been established that the plasma is in equilibrium. "Equilibrium" asks whether there are net forces that will accelerate any part of the plasma...
, a measure of how likely a perturbation in a plasma is to be damped out
Exercise and sports medicine
- Core stabilityCore stabilityCore stability relates to the bodily region bounded by the abdominal wall, the pelvis, the lower back and the diaphragm and its ability to stabilise the body during movement. The main muscles involved include the transversus abdominus, the internal and external obliques, the quadratus lumborum and...
of the abdominal muscles - Joint stabilityJoint stabilityJoint 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. The opposite of stability is instability...
in the musculoskeletal system
Entertainment
- The Stability EP, a 2002 three song EP by Death Cab for Cutie
- "Stability", a song by Debbie Harry from the album DebravationDebravationDebravation is the fourth solo album by Deborah Harry. Released in 1993, the album reached no. 24 in the UK. It was also the final album Harry made whilst signed to the Chrysalis label, thus ending a successful partnership that began with Blondie and had endured for over 15 years.The first single...
- "StabilityStability (short story)Stability is a short story written by Philip K. Dick, first published in 1987. The story takes place in the far future where mankind doesn't progress anymore. To prevent humankind's declination, changes are no longer possible. Earth is kept in a 'stable' state.-Plot Summary:Robert Benton is called...
", a short storyShort storyA short story is a work of fiction that is usually written in prose, often in narrative format. This format tends to be more pointed than longer works of fiction, such as novellas and novels. Short story definitions based on length differ somewhat, even among professional writers, in part because...
by Philip K. DickPhilip K. DickPhilip Kindred Dick was an American novelist, short story writer and essayist whose published work is almost entirely in the science fiction genre. Dick explored sociological, political and metaphysical themes in novels dominated by monopolistic corporations, authoritarian governments and altered...
See also
- Balance (disambiguation)
- Bicycle and motorcycle dynamicsBicycle and motorcycle dynamicsBicycle and motorcycle dynamics is the science of the motion of bicycles and motorcycles and their components, due to the forces acting on them. Dynamics is a branch of classical mechanics, which in turn is a branch of physics. Bike motions of interest include balancing, steering, braking,...
- Equilibrium (disambiguation)
- Fault-tolerant systemFault-tolerant systemFault-tolerance or graceful degradation is the property that enables a system to continue operating properly in the event of the failure of some of its components. A newer approach is progressive enhancement...
- HomeostasisHomeostasisHomeostasis is the property of a system that regulates its internal environment and tends to maintain a stable, constant condition of properties like temperature or pH...
- InstabilityInstabilityIn numerous fields of study, the component of instability within a system is generally characterized by some of the outputs or internal states growing without bounds...
- Stable (disambiguation)Stable (disambiguation)A stable is a building in which livestock are kept.Stable or stables may also refer to:* Stables , a surname.* Stable , a group of musicians who work under the same agency, management, publisher or record company...