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A system in equilibrium in which there is positive feedback to any change from its current state may be unstable, in which case the system is said to be in an unstable equilibrium. The magnitude of the forces that act to move such a system away from its equilibrium is an increasing function of the distance of the state from the equilibrium.
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.
The simplest kind of an orbit is a fixed point, or an equilibrium. If a mechanical system is in a stable equilibrium state then a small push will result in a localized motion, for example, small oscillations as in the case of a pendulum. In a system with damping, a stable equilibrium state is moreover asymptotically stable. On the other hand ...
Metastability, a state in which signals (such as oscillatory waves) fall outside their natural equilibrium state but persist for an extended period of time, is a principle that describes the brain's ability to make sense out of seemingly random environmental cues.
Self-esteem stability refers to immediate feelings of self-esteem which, generally, will not be influenced by everyday positive or negative experiences. [1] In contrast, unstable self-esteem refers to fragile and vulnerable feelings of self-esteem which will be influenced by internally generated, such as reflecting on one's social life, and externally received evaluative information, for ...
Following the terminology given in the first definition above, this definition requires that for all T≠S. E(S,S) ≥ E(T,S), and; E(S,T) > E(T,T) In this formulation, the first condition specifies that the strategy is a Nash equilibrium, and the second specifies that Maynard Smith's second condition is met.
Triangulation is a term in psychology most closely associated with the work of Murray Bowen known as family therapy. [unreliable source?] Bowen theorized that a two-person emotional system is unstable, in that under stress it forms itself into a three-person system or triangle. [1]
A ball located at this point, ball 3, is in equilibrium but unstable; the slightest disturbance will cause it to move to one of the stable points. Light switch, a bistable mechanism. In a dynamical system, bistability means the system has two stable equilibrium states. [1] A bistable structure can be resting in either of two states.