Definitions for chaotic attractor
chaot·ic attrac·tor

Princeton's WordNetRate this definition:0.0 / 0 votes

1. strange attractor, chaotic attractornoun

   an attractor for which the approach to its final point in phase space is chaotic

WikipediaRate this definition:0.0 / 0 votes

1. chaotic attractor

   In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed. In finite-dimensional systems, 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.If the evolving variable is two- or three-dimensional, the attractor of the dynamic process can be represented geometrically in two or three dimensions, (as for example in the three-dimensional case depicted to the right). An attractor can be a point, a finite set of points, a curve, a manifold, or even a complicated set with a fractal structure known as a strange attractor (see strange attractor below). If the variable is a scalar, the attractor is a subset of the real number line. Describing the attractors of chaotic dynamical systems has been one of the achievements of chaos theory. A trajectory of the dynamical system in the attractor does not have to satisfy any special constraints except for remaining on the attractor, forward in time. The trajectory may be periodic or chaotic. If a set of points is periodic or chaotic, but the flow in the neighborhood is away from the set, the set is not an attractor, but instead is called a repeller (or repellor).

ChatGPTRate this definition:0.0 / 0 votes

1. chaotic attractor

   A chaotic attractor is a particular kind of mathematical object found in dynamic systems which, though deterministic, exhibit chaotic, unpredictable behavior. These attractors, which are typically represented in phase space, draw the system toward a specific set of conditions or states. Despite the deterministic nature of the system, the system's future states will be sensitive to initial conditions, leading to complex and seemingly random behavior.

Matched Categories

1. • Attractor

How to pronounce chaotic attractor?

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How to say chaotic attractor in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of chaotic attractor in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of chaotic attractor in Pythagorean Numerology is: 4

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=chaotic attractor
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Chaotic_Attractor
3. ^ ChatGPT
   https://chat.openai.com