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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The initial condition [l.sub.1] and system parameter [xi] are taken together to analyze the attraction basins shown in Figure 6(b), which is also associated with the periods (purple) and chaotic attraction (red).
Circuit Implementation, Synchronization of Multistability, and Image Encryption of a Four-Wing Memristive Chaotic System
So that the final state of the system is determined by the basins of attraction where initial conditions are located; when the initial conditions are near the boundary of the attraction basins, slight disturbance or change in parameters will lead to a completely different motion of the system.
Robustness of Supercavitating Vehicles Based on Multistability Analysis
Drawing the attraction basins of (9) for finding the solution of the polynomial equation [x.sup.2] - 1 = 0 in the complex plane reveals that the application of (9) for finding matrix sign function and consequently the polar decomposition has global convergence (see Figure 1).
A third-order Newton-type method for finding polar decomposition

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