point attractor


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point attractor

n. Mathematics
In the phase space of a dynamical system, a point representing a steady state of the system, toward which the states represented by nearby points ultimately tend.
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References in periodicals archive ?
Projections of the coexisting attractor in two-dimensional plane w-[theta] and three-dimensional space w-[theta]-q are shown in Figures 5(a) and 5(b), respectively, in which the red dot represents equilibrium point attractor and the blue limit cycle represents periodic attractor.
When initial condition is set by point in the orange region O, for example, let initial condition (x(0),y(0)) = (0.02,0.4) (other initial conditions: (z(0),w(0), v(0)) = (0.01, 0.01, 0.01)), the system is attracted in a periodic orbit colored orange in Figure 15(b); but when (x(0),y(0)) = (0.3, 0.1) and other initial conditions remain unchanged, the system has a point attractor shown by a black point.
There is only one state that significantly differs in the value of the point attractor reached, and it is [x.sub.2](t).
The 'point attractor' is present when a person is drawn to one specific point (for example, a specific interest).
point attractor can be seen when individuals fail to conduct adequate
The simplest type of attractor is the fixed point attractor, which constitutes a single stable state that keeps a system in that situation regardless of the pressure it is subject to.
Rita was in the grips of a longstanding point attractor, repeatedly making similar decisions that resulted in others'--but not her own--needs being met.
These can be of three types: 'point attractor, limit cycle and complexor' dynamics (Losada and Heaphy, 2004) The authors argue that point attractor dynamics correspond to low performance, limit cycle dynamics to medium performance and complexor (chaotic) dynamics to high performance of teams, respectively.
(iii) The stimulus vector generated by genetic algorithm is found to be (.76, .74, .99, .76, 0, 0, .45, .47, .46, .38, .1, .11, .46) with corresponding policy vector (1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0) which leads to a fixed point attractor (.76, .5, .99, .76, .77, .8, .58, .74, .8, .77, .74, .11, .5).
The strength of prey preference required to produce a point attractor in a previously chaotic system was positively related to the dimension of chaos (a measure of the complexity of chaos).
One type of attractor that chaos theory identifies is the point attractor. It is also termed the fixed-point or single-point attractor.