Difference between revisions of "Strange Attractors"

From Math Images
Jump to: navigation, search
Line 1: Line 1:
[[Image:Lorenz-attractor-render-1-small.jpg|200px|right|thumb|The Lorenz Attractor]]A '''strange attractor''' is an infinite-point [[Field:Dynamic Systems#Jump3|attractor]] with [[Fractal Dimension|non-integer dimension]].  The trajectory of a system characterized by a strange attractor never repeats itself, but still stays within a bounded region of [[Field:Dynamic Systems#Jump2|state space]]. Strange attractors are a type of [[Field:Fractals|fractal]], exhibiting self-similarity on all scales.
+
[[Image:Strange Attractor.jpg|thumb|300px|right|A visualization of the Poisson Saturne attractor, an example of a strange attractor.]]A '''strange attractor''' is an infinite-point [[Field:Dynamic Systems#Jump3|attractor]] with [[Fractal Dimension|non-integer dimension]].  The trajectory of a system characterized by a strange attractor never repeats itself, but still stays within a bounded region of [[Field:Dynamic Systems#Jump2|state space]]. Strange attractors are a type of [[Field:Fractals|fractal]], exhibiting self-similarity on all scales.
  
 
Examples of strange attractors include the [[Henon Attractor| Hénon attractor]], Rössler attractor, [[Lorenz Attractor]], Tamari attractor.
 
Examples of strange attractors include the [[Henon Attractor| Hénon attractor]], Rössler attractor, [[Lorenz Attractor]], Tamari attractor.

Revision as of 14:14, 5 June 2012

A visualization of the Poisson Saturne attractor, an example of a strange attractor.

A strange attractor is an infinite-point attractor with non-integer dimension. The trajectory of a system characterized by a strange attractor never repeats itself, but still stays within a bounded region of state space. Strange attractors are a type of fractal, exhibiting self-similarity on all scales.

Examples of strange attractors include the Hénon attractor, Rössler attractor, Lorenz Attractor, Tamari attractor.