Instability

Source: Wikipedia, the free encyclopedia.
A ball on the top of a hill is an unstable situation.

In

states increase with time, without bounds.[1] Not all systems that are not stable are unstable; systems can also be marginally stable or exhibit limit cycle
behavior.

In

stresses, which in turn increases deflections. This can take the form of buckling or crippling. The general field of study is called structural stability
.

weather systems
on Earth.

Instability in control systems

In the theory of

in a system is said to be unstable if it evolves without bounds. A system itself is said to be unstable if at least one of its state variables is unstable.

In

discrete time
is that at least one of the eigenvalues is greater than 1 in absolute value, or that two or more eigenvalues are equal and of unit absolute value.

Instability in solid mechanics

Fluid instabilities

Hydrodynamics simulation of the Rayleigh–Taylor instability[3]
Unstable flow structure generated from the collision of two impinging jets.

plasmas, and are often characterized by the shape that form; they are studied in fluid dynamics and magnetohydrodynamics
. Fluid instabilities include:

Plasma instabilities

Plasma instabilities can be divided into two general groups (1) hydrodynamic instabilities (2) kinetic instabilities. Plasma instabilities are also categorised into different modes – see this paragraph in plasma stability.

Instabilities of stellar systems

Galaxies and star clusters can be unstable, if small perturbations in the gravitational potential
cause changes in the density that reinforce the original perturbation. Such instabilities usually require that the motions of stars be highly correlated, so that the perturbation is not "smeared out" by random motions. After the instability has run its course, the system is typically "hotter" (the motions are more random) or rounder than before. Instabilities in stellar systems include:

Joint instabilities

The most common residual disability after any sprain in the body is instability. Mechanical instability includes insufficient stabilizing structures and mobility that exceed the physiological limits. Functional instability involves recurrent sprains or a feeling of giving way of the injured joint.

deafferentation, the interruption of sensory nerve fibers, and functional instability, then a subject's postural sway should be altered.[7]
Joint stability can be enhanced by the use of an external support system, like a brace, to alter body mechanics. The mechanical support provided by a brace provides cutaneous afferent feedback in maintaining postural control and increasing stability.

Notes

  1. ^ "Definition of INSTABILITY". www.merriam-webster.com. Retrieved 23 April 2018.
  2. ^ "Definition of BAROCLINIC INSTABILITY". www.merriam-webster.com. Retrieved 23 April 2018.
  3. ^ Shengtai Li; Hui Li. "Parallel AMR Code for Compressible MHD or HD Equations". Los Alamos National Laboratory. Archived from the original on 2016-03-03. Retrieved 2006-05-31.
  4. .
  5. .

External links