# Attractor

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## Attractor

In non-linear dynamic series, an attractor defines the equilibrium level of the system. See: Point Attractor, Limit Cycle, and Strange Attractor.
References in periodicals archive ?
Finding basins of attraction of this polynomial for different values of the coefficients corresponding to different years;
The drawing process for the basins of attraction follows Varona .
(4) Initialize basins and counters: the algorithm heuristic assumption is that basins of attraction are spherical.
This kind of form of a third sub-step iteration is more useful in the error analysis as well as in the study of dynamics via basins of attraction. One way of finding such a third sub-step iteration with a feasible error corrector is to apply the Inverse Function Theorem  to (2.3).
Basins of attraction  of the model are given in Section 7.
Nurkanovic, "Basins of attraction of equilibrium points of second order difference equations," Applied Mathematics Letters, vol.
Basins of attraction at stable equilibrium points and periodic dots are not stable persistently; they are likely to be divergent once beyond the boundary of basins of attraction.
These results are useful for determining basins of attraction of fixed points of competitive maps.
To obtain basins of attraction, we take four test examples which are given as [p.sub.3](x) = [x.sup.3] - 1, [p.sub.4](x) = [x.sup.4] - 10[chi square] + 9, [p.sub.5](x) = [x.sup.5] - 1, and [p.sub.7](x) = [x.sup.7] - 1.
Furthermore, we can conclude that the basins of attraction S(-1) and S(1) in the case of operator B are the half-planes on either side in relation to the line z = 0 (the imaginary axis).
The basins of attraction shown in Figure 4 indicate that the four attractors can coexist in a various host-parasitoid initial densities.
For complete global bifurcation analysis we have used the MCBG, Poincare mappings, basins of attraction, etc.

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