## 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

... 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

... An

**Attractor**- Types of**Attractor**s - 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 -

... In the literature in this field, each cycle is also called an

**Attractor**s... 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

... An

**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

... From a computational point of view,

**Attractor**s: Self-excited and Hidden**Attractor**s... 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*): A characteristic that provides pleasure and attracts.

Example:*"Flowers are an attractor for bees"*

Synonyms: attraction, attracter, attractive feature, magnet

- (
*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

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