attractor

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Related to chaotic attractor: Chaos theory, Basin of attraction, Chaotic dynamical systems

attractor

[ə′trak·tər]
(physics)
A geometrical object toward which the trajectory of a dynamical system, represented by a curve in phase space, converges in the course of time.
References in periodicals archive ?
By building the complete bifurcation diagrams with stable and unstable periodic solutions, we have found different new bifurcation groups with their own rare regular and chaotic attractors.
However, in the absence of identification of a chaotic attractor by the GP correlation dimension analysis, very possibly an artifact of data limitations, one is unable to obtain conclusive evidence of the existence of deterministic chaos.
These findings are vitally important within the context of real world phenomena such as are represented by human-modified environments, for it may be that what hitherto we have interpreted as environmental fluctuations due to chance or other stochastic factors may in fact be deterministic, with their origin in a chaotic attractor.
Given that such sporadic shocks are not uncommon in foreign exchange markets, a grandiose aspiration of finding a long-term steady-state dynamical path by locating a chaotic attractor would be impractical.
However, in the absence of identification of a chaotic attractor, very possibly an artifact of data limitations, one is unable to obtain conclusive proof of the existence of deterministic chaos.
The undergraduate textbook describes the analysis of nonlinear differential equations by means of phase portraits, periodic orbits, chaotic attractors, periodic points of one-dimensional maps, and invariant sets for higher dimensional maps.
In Section 3, we discuss chaos synchronization of two identical Duffing chaotic attractors.