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.
Copyright © 2012, Campbell R. Harvey. All Rights Reserved.
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Finding basins of attraction of this polynomial for different values of the coefficients corresponding to different years;
Estimation of the world economic system stability from 1963 to 2013 by using a discrete dynamic model
The drawing process for the basins of attraction follows Varona [14].
Fixed Point and Newton's Methods in the Complex Plane
(4) Initialize basins and counters: the algorithm heuristic assumption is that basins of attraction are spherical.
The Scatter Search Based Algorithm for Beam Angle Optimization in Intensity-Modulated Radiation Therapy
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 [1] to (2.3).
An Optimal Family of Eighth-Order Iterative Methods with an Inverse Interpolatory Rational Function Error Corrector for Nonlinear Equations
Basins of attraction [16] of the model are given in Section 7.
Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market
Nurkanovic, "Basins of attraction of equilibrium points of second order difference equations," Applied Mathematics Letters, vol.
Global Dynamics of Rational Difference Equations [x.sub.n+1] = ([x.sub.n] + [x.sub.n-1])/(q + [y.sub.n][y.sub.n-1]) and [y.sub.n+1] = ([y.sub.n] + [y.sub.n-1])/(p + [x.sub.n][x.sub.n-1]
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.
Robustness of Supercavitating Vehicles Based on Multistability Analysis
These results are useful for determining basins of attraction of fixed points of competitive maps.
Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms
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.
Optimal sixteenth order convergent method based on quasi-Hermite interpolation for computing roots
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).
A third-order Newton-type method for finding polar decomposition
The basins of attraction shown in Figure 4 indicate that the four attractors can coexist in a various host-parasitoid initial densities.
Dynamic complexity of a switched host-parasitoid model with beverton-holt growth concerning integrated pest management
For complete global bifurcation analysis we have used the MCBG, Poincare mappings, basins of attraction, etc.
Complete bifurcation analysis of driven damped pendulum systems/Juhitava sumbumisega pendelsusteemide taielik bifurkatsioonianaluus

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