What is attractor?

Attractor

An attractor is a set towards which a variable, moving according to the dictates of a dynamical system, evolves over time. That is, points that get close enough to the attractor remain close even if slightly disturbed. The evolving variable may be represented algebraically as an n-dimensional vector. The attractor is a region in n-dimensional space. In physical systems, the n dimensions may be, for example, two or three positional coordinates for each of one or more physical entities; in economic systems, they may be separate variables such as the inflation rate and the unemployment rate.

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Some articles on attractor:

The Great Attractor - In Fiction
... The Great Attractor is mentioned in the "Pip and Flinx" series by novelist Alan Dean Foster, in the book Flinx's Folly ... The Great Attractor is referenced as an attempt of an ancient alien race to create something with enough gravitational pull to move the Milky Way, among other galaxies ... The Great Attractor is said to be both sentient and the cause of the 1977 New York Blackout ...
Stable Attractor - Types of Attractors - Strange Attractor
... An attractor is called strange if it has a fractal structure ... This is often the case when the dynamics on it are chaotic, but there also exist strange attractors that are not chaotic ... was coined by David Ruelle and Floris Takens to describe the attractor that resulted from a series of bifurcations of a system describing fluid flow ...
Boolean Network - Classical Model - Attractors
... In the literature in this field, each cycle is also called an attractor (though in the broader field of dynamical systems a cycle is only an ... If the attractor has only a single state it is called a point attractor, and if the attractor consists of more than one state it is called a cycle attractor ... The set of states that lead to an attractor is called the basin of the attractor ...
Stable Attractor
... An attractor is a set towards which a variable, moving according to the dictates of a dynamical system, evolves over time ... That is, points that get close enough to the attractor remain close even if slightly disturbed ... The attractor is a region in n-dimensional space ...
Numerical Localization (visualization) of Attractors: Self-excited and Hidden Attractors
... From a computational point of view, attractors can be naturally regarded as self-excited attractors or hidden attractors ... Self-excited attractors can be localized numerically by standard computational procedures, in which after a transient sequence, a trajectory starting from a point on an unstable manifold in a small ... In contrast, the basin of attraction of a hidden attractor does not contain neighborhoods of equilibria, so the hidden attractor cannot be localized by standard computational procedures ...

More definitions of "attractor":

  • (noun): (physics) a point in the ideal multidimensional phase space that is used to describe a system toward which the system tends to evolve regardless of the starting conditions of the system.
    Synonyms: attracter