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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 ...
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.
Enantiodromia (Ancient Greek: ἐναντίος, romanized: enantios – "opposite" and δρόμος, dromos – "running course") is a principle introduced in the West by psychiatrist Carl Jung.
In continuous systems, this corresponds to the real part of an eigenvalue of an equilibrium passing through zero. In discrete systems (described by maps), this corresponds to a fixed point having a Floquet multiplier with modulus equal to one. In both cases, the equilibrium is non-hyperbolic at the bifurcation point. The topological changes in ...
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 ...
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]
Diagram of a ball placed in an unstable equilibrium. Second derivative < 0 The potential energy is at a local maximum, which means that the system is in an unstable equilibrium state. If the system is displaced an arbitrarily small distance from the equilibrium state, the forces of the system cause it to move even farther away.