unstable equilibrium point
1Equilibrium point — In mathematics, the point ilde mathbf{x}in mathbb{R}^n is an equilibrium point for the differential equation :frac{dmathbf{x{dt} = mathbf{f}(t,mathbf{x}) if mathbf{f}(t, ildemathbf{x})=0 for all t,!.Similarly, the point ilde mathbf{x}in… …
2unstable equilibrium — noun : a state of equilibrium of a body (as a pendulum standing direclty upward from its point of support) such that when the body is slightly displaced it departs further from the original position compare stable equilibrium …
3Mechanical equilibrium — A pendulum in a stable equilibrium (left) and unstable equilibrium (right) A standard definition of static equilibrium is: A system of particles is in static equilibrium when all the particles of the system are at rest and the total force on each …
4Lagrangian point — The Lagrangian points (IPA en|ləˈgreɪndʒiən, IPA fr|lagʁɑ̃ʒjɑ̃; also Lagrange point, L point, or libration point), are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be stationary… …
5Fixed point (mathematics) — Not to be confused with a stationary point where f (x) = 0. A function with three fixed points In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is a point[1] that is …
6Saddle point — In mathematics, a saddle point is a point in the domain of a function of two variables which is a stationary point but not a local extremum. At such a point, in general, the surface resembles a saddle that curves up in one direction, and curves… …
7Stable equilibrium — Stable Sta ble (st[=a] b l), a. [OF. estable, F. stable, fr. L. stabilis, fr. stare to stand. See {Stand}, v. i. and cf. {Establish}.] 1. Firmly established; not easily moved, shaken, or overthrown; fixed; as, a stable government. [1913 Webster]… …
8stable equilibrium — noun Etymology: stable (III) : a state of equilibrium of a body (as a pendulum hanging directly downward from its point of support) such that when the body is slightly displaced it tends to return to its original position compare unstable… …
9Nash equilibrium — A solution concept in game theory Relationships Subset of Rationalizability, Epsilon equilibrium, Correlated equilibrium Superset of Evolutionarily stable strategy …
10General equilibrium — theory is a branch of theoretical microeconomics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets. It is often assumed that agents are price takers and in that setting two common… …
