Multistability

In a dynamical system, multistability is the property of having multiple stable equilibrium points in the vector space spanned by the states in the system. By mathematical necessity, there must also be unstable equilibrium points between the stable points. Points that are stable in some dimensions and unstable in others are termed unstable, as is the case with the first three Lagrangian points.

Bistability
Main article: Bistability

Bistability is the special case with two stable equilibrium points. It is the simplest form of multistability, and can occur in systems with only one state variable, as it only takes a one-dimensional space to separate two points.

Initial instability
See also: Path dependence

Near an unstable equilibrium, any system will be sensitive to noise, initial conditions and system parameters, which can cause it to develop in one of multiple divergent directions. In economics and social sciences, path dependence gives rise to divergent directions of development. Some path dependent processes are adequately described by multistability, by being initially sensitive to input, before reaching a stagnant state – for example market share instability, which can develop into a stable monopoly for one of multiple possible vendors.

Multistable perception
Ambiguous images
Main article: Multistable perception

In vision science, multistable perception characterizes the wavering percepts that can be brought about by certain visually ambiguous pattern such as the Necker cube, monocular rivalry or binocular rivalry. Through lateral inhibition, a pattern in which one image, when stimulated, inhibit the activity of neighboring images.

gollark: It's documented in PS#ABB85797: "Utilizing unknown means possibly involving direct bytecode manipulation, [REDACTED], and side-channel attacks, the program [DATA EXPUNGED], potentially resulting in a cascading failure/compromise of other networked computers and associated PotatOS-related systems such as the ODIN defense coordination network and Skynet, which would result in a ΛK-class critical failure scenario."
gollark: All *known* copies of it were deleted because it is very dangerous.
gollark: Anyway, right now it seems to mostly be inactive. But there's not a good way to tell how much it's doing. Occasionally some stuff with "Siri" in it trips the potatOS code filtering, but it seems to mostly just be people testing the potatOS code filtering.
gollark: I had to *block* it in PotatOS, because it could cause a ΛK-class critical failure scenario.
gollark: Nope!
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