unstable equilibrium point

unstable equilibrium point
вполне неустойчивое положение равновесия (такое положение становится асимптотически устойчивым при обращении времени, поскольку для него все собственные значения локально линеаризованной матрицы векторного поля имеют положительную вещественную часть); см. equilibrium point; ср. nonstable equilibrium point

Англо-русский словарь промышленной и научной лексики. 2014.

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Смотреть что такое "unstable equilibrium point" в других словарях:

  • Equilibrium 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… …   Wikipedia

  • unstable 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 …   Useful english dictionary

  • Mechanical 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 …   Wikipedia

  • Lagrangian 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… …   Wikipedia

  • Fixed 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 …   Wikipedia

  • Saddle 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… …   Wikipedia

  • Stable 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]… …   The Collaborative International Dictionary of English

  • stable 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… …   Useful english dictionary

  • Nash equilibrium — A solution concept in game theory Relationships Subset of Rationalizability, Epsilon equilibrium, Correlated equilibrium Superset of Evolutionarily stable strategy …   Wikipedia

  • General 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… …   Wikipedia

  • Non-equilibrium thermodynamics — Thermodynamics …   Wikipedia


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