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Visual representation of a strange attractor. [1] Another visualization of the same 3D attractor is this video.Code capable of rendering this is available.. In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, [2] for a wide variety of starting conditions of the system.
English: The attractor shown here is known as the Poisson Saturne attractor. It is a set in three-dimensional space and this video aims to give the viewer a fuller understanding of the set than what can be gained from one 2D image. The set consists of two separate parts; one is here colored in yellow/green and one in blue/magenta.
The implementation of Lorenz attractor in an electronic circuit. Lorenz attractor interactive animation (you need the Adobe Shockwave plugin) 3D Attractors: Mac program to visualize and explore the Lorenz attractor in 3 dimensions; Lorenz Attractor implemented in analog electronic; Lorenz Attractor interactive animation (implemented in Ada with ...
Because of the topological transitivity condition, this is likely to produce a picture of the entire final attractor, and indeed both orbits shown in the figure on the right give a picture of the general shape of the Lorenz attractor. This attractor results from a simple three-dimensional model of the Lorenz weather system. The Lorenz attractor ...
Hénon attractor for a = 1.4 and b = 0.3 Hénon attractor for a = 1.4 and b = 0.3. In mathematics, the Hénon map, sometimes called Hénon–Pomeau attractor/map, [1] is a discrete-time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaotic behavior.
Thomas' cyclically symmetric attractor. In the dynamical systems theory , Thomas' cyclically symmetric attractor is a 3D strange attractor originally proposed by René Thomas . [ 1 ] It has a simple form which is cyclically symmetric in the x, y, and z variables and can be viewed as the trajectory of a frictionally dampened particle moving in a ...
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior.Maps may be parameterized by a discrete-time or a continuous-time parameter.
An attractor is a stable point which is also called a "sink". The repeller is considered as an unstable point, which is also known as a "source". A phase portrait graph of a dynamical system depicts the system's trajectories (with arrows) and stable steady states (with dots) and unstable steady states (with circles) in a phase space.