Stable equilibrium


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(Mech.) the kind of equilibrium of a body so placed that if disturbed it returns to its former position, as in the case when the center of gravity is below the point or axis of support; - opposed to unstable equilibrium, in which the body if disturbed does not tend to return to its former position, but to move farther away from it, as in the case of a body supported at a point below the center of gravity. Cf. Neutral equilibrium, under Neutral.

See also: Stable

References in classic literature ?
Then there were the pebbles and stones that turned under him when he trod upon them; and from them he came to know that the things not alive were not all in the same state of stable equilibrium as was his cave--also, that small things not alive were more liable than large things to fall down or turn over.
It tends to be a pretty stable equilibrium so there tends to be one or two reserve currencies, and it tends to last for a long time.
The recurring theme of the book is the opportunities lost and the prospects of realising the potential unleashed by the comprehensive devolution under the 18th Amendment to the Constitution and the 7th NFC Award, with the rider 'that effective implementation of provincial autonomy would take some time to find a stable equilibrium.
The Nash theorem demonstrates that, in many situations, there is always a stable equilibrium for non-cooperative games with two or more players.
Economists have recendy favored an approach in which societies move from one point to another on a linear continuum until a critical juncture is reached, usually some externally administered perturbation, such as the great plague of the fourteenth century or the English Revolution of the seventeenth century, which causes a shift to another stable equilibrium state.
If the system has stable equilibrium point, the control goal is to design the controller to make the system (2.2) global asymptotical stabilization approach the equilibrium point.
On the lower level were seven carved-stone gombocs--convex objects originally hypothesized by the Russian mathematician Vladimir Arnold in 1995 that are shaped in such a way that they always return to a position of stable equilibrium. Placed in the corresponding locations on the upper level, but otherwise rather disparate, were seven stone sculptures of mythological nymphs frolicking in volcanic sand, except for the fact that Gander had suggestively slipped a gomboc into one of the nymphs' hands.
Only countries with a stable equilibrium between its centrifugal and centripetal forces stay afloat in comity of nations.
The stack reaches the 'tipping point', which, in physics, is simplistically the point at which an object goes from 'stable equilibrium' to a state that is completely the opposite.
(ii) If g([a.sup.2]M + [b.sup.2]g) > 0, then [e.sup.M.sub.1] is a nonlinearly stable equilibrium point.
For [R.sup.*.sub.thr] < [R.sup.*.sub.1] < 1, system (1) will present the locally asymptotically stable low-criminality equilibrium [P.sub.l] plus two positive high-criminality equilibria, [P.sup.+.sub.h] and [P.sup.-.sub.h], which will correspond to the solutions of (9): [C.sup.+.sub.2], the higher solution, which corresponds to the stable equilibrium, and [C.sup.-.sub.2], the smaller solution, which corresponds to the unstable equilibrium.
The core approach of DSGE modelling starts with conditions conducive to the emergence of a stable equilibrium, and so it effectively rules out the possibility of crises.